157206528 has 96 divisors (see below), whose sum is σ = 465847200. Its totient is φ = 52383744.

The previous prime is 157206527. The next prime is 157206607. The reversal of 157206528 is 825602751.

It is a happy number.

157206528 is a `hidden beast` number, since 1 + 572 + 0 + 65 + 28 = 666.

157206528 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 (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 157206492 and 157206501.

It is not an unprimeable number, because it can be changed into a prime (157206523) 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, 53875 + ... + 56717.

It is an arithmetic number, because the mean of its divisors is an integer number (4852575).

Almost surely, 2^157206528 is an apocalyptic number.

157206528 is a gapful number since it is divisible by the number (18) 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 157206528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232923600).

157206528 is an abundant number, since it is smaller than the sum of its proper divisors (308640672).

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

157206528 is an equidigital number, since it uses as much as digits as its factorization.

157206528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 157206528 is about 12538.2027420201. The cubic root of 157206528 is about 539.7055184501.

The spelling of 157206528 in words is "one hundred fifty-seven million, two hundred six thousand, five hundred twenty-eight".