157890528 has 72 divisors (see below), whose sum is σ = 450830016. Its totient is φ = 52416000.

The previous prime is 157890521. The next prime is 157890547. The reversal of 157890528 is 825098751.

It is a happy number.

157890528 is digitally balanced in base 2, 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157890521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79953 + ... + 81903.

It is an arithmetic number, because the mean of its divisors is an integer number (6261528).

Almost surely, 2^157890528 is an apocalyptic number.

157890528 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 157890528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225415008).

157890528 is an abundant number, since it is smaller than the sum of its proper divisors (292939488).

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

157890528 is a wasteful number, since it uses less digits than its factorization.

157890528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 157890528 is about 12565.4497730881. The cubic root of 157890528 is about 540.4871324435.

The spelling of 157890528 in words is "one hundred fifty-seven million, eight hundred ninety thousand, five hundred twenty-eight".