157528 has 32 divisors (see below), whose sum is σ = 352800. Its totient is φ = 64512.

The previous prime is 157523. The next prime is 157543. The reversal of 157528 is 825751.

157528 = 147² + 148² + ... + 153².

157528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 157496 and 157505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157523) by changing a digit.

157528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1576 + ... + 1672.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2¹⁵⁷⁵²⁸ 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 157528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400).

157528 is an abundant number, since it is smaller than the sum of its proper divisors (195272).

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

157528 is a wasteful number, since it uses less digits than its factorization.

157528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its digits is 2800, while the sum is 28.

The square root of 157528 is about 396.8979717761. The cubic root of 157528 is about 54.0073149670.

It can be divided in two parts, 1575 and 28, that multiplied together give a square (44100 = 210²).

The spelling of 157528 in words is "one hundred fifty-seven thousand, five hundred twenty-eight".