157009536 has 128 divisors (see below), whose sum is σ = 467812800. Its totient is φ = 51840000.

The previous prime is 157009493. The next prime is 157009543. The reversal of 157009536 is 635900751.

It is a happy number.

157009536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 157009536.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625411 + ... + 625661.

Almost surely, 2^157009536 is an apocalyptic number.

157009536 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 157009536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233906400).

157009536 is an abundant number, since it is smaller than the sum of its proper divisors (310803264).

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

157009536 is a wasteful number, since it uses less digits than its factorization.

157009536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 157009536 is about 12530.3446081902. The cubic root of 157009536 is about 539.4799932341.

The spelling of 157009536 in words is "one hundred fifty-seven million, nine thousand, five hundred thirty-six".