157958528 has 128 divisors (see below), whose sum is σ = 394813440. Its totient is φ = 61286400.

The previous prime is 157958501. The next prime is 157958531. The reversal of 157958528 is 825859751.

It is a happy number.

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

It is a congruent number.

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, 826913 + ... + 827103.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^157958528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157958528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

157958528 is an abundant number, since it is smaller than the sum of its proper divisors (236854912).

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

157958528 is a wasteful number, since it uses less digits than its factorization.

157958528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 50.

The square root of 157958528 is about 12568.1553141263. The cubic root of 157958528 is about 540.5647133060.

The spelling of 157958528 in words is "one hundred fifty-seven million, nine hundred fifty-eight thousand, five hundred twenty-eight".