157528360 has 64 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 55430400.

The previous prime is 157528333. The next prime is 157528361. The reversal of 157528360 is 63825751.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (157528361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7866 + ... + 19414.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2^157528360 is an apocalyptic number.

157528360 is a gapful number since it is divisible by the number (10) 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 157528360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

157528360 is an abundant number, since it is smaller than the sum of its proper divisors (241639640).

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

157528360 is a wasteful number, since it uses less digits than its factorization.

157528360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11602 (or 11598 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 157528360 is about 12551.0302365981. The cubic root of 157528360 is about 540.0735610807.

The spelling of 157528360 in words is "one hundred fifty-seven million, five hundred twenty-eight thousand, three hundred sixty".