155164032 has 256 divisors, whose sum is σ = 514080000. Its totient is φ = 45785088.

The previous prime is 155163991. The next prime is 155164033. The reversal of 155164032 is 230461551.

155164032 is a `hidden beast` number, since 15 + 5 + 1 + 640 + 3 + 2 = 666.

155164032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 155163987 and 155164005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155164033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116219 + ... + 1116357.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2^155164032 is an apocalyptic number.

155164032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257040000).

155164032 is an abundant number, since it is smaller than the sum of its proper divisors (358915968).

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

155164032 is a wasteful number, since it uses less digits than its factorization.

155164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 155164032 is about 12456.4855396697. The cubic root of 155164032 is about 537.3579586451.

The spelling of 155164032 in words is "one hundred fifty-five million, one hundred sixty-four thousand, thirty-two".