152901936 has 120 divisors (see below), whose sum is σ = 472844736. Its totient is φ = 45736320.

The previous prime is 152901901. The next prime is 152901941. The reversal of 152901936 is 639109251.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152901936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130891 + ... + 132053.

Almost surely, 2^152901936 is an apocalyptic number.

152901936 is a gapful number since it is divisible by the number (16) 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 152901936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236422368).

152901936 is an abundant number, since it is smaller than the sum of its proper divisors (319942800).

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

152901936 is a wasteful number, since it uses less digits than its factorization.

152901936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 152901936 is about 12365.3522392207. The cubic root of 152901936 is about 534.7338309734.

The spelling of 152901936 in words is "one hundred fifty-two million, nine hundred one thousand, nine hundred thirty-six".