146988 has 24 divisors (see below), whose sum is σ = 381360. Its totient is φ = 48960.

The previous prime is 146987. The next prime is 146989. The reversal of 146988 is 889641.

It is a happy number.

146988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146987) and next prime (146989).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (15890).

2^{146988} is an apocalyptic number.

146988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146988 is an abundant number, since it is smaller than the sum of its proper divisors (234372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146988 is a wasteful number, since it uses less digits than its factorization.

146988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 146988 is about 383.3901407183. The cubic root of 146988 is about 52.7748847496.

It can be divided in two parts, 14698 and 8, that added together give a triangular number (14706 = T_{171}).

The spelling of 146988 in words is "one hundred forty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1361 2722 4083 5444 8166 12249 16332 24498 36747 48996 73494 146988

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