157528640 has 56 divisors (see below), whose sum is σ = 376196352. Its totient is φ = 62830080.

The previous prime is 157528627. The next prime is 157528661. The reversal of 157528640 is 46825751.

It is a junction number, because it is equal to n+sod(n) for n = 157528594 and 157528603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193835 + ... + 194645.

It is an arithmetic number, because the mean of its divisors is an integer number (6717792).

Almost surely, 2^157528640 is an apocalyptic number.

157528640 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 157528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188098176).

157528640 is an abundant number, since it is smaller than the sum of its proper divisors (218667712).

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

157528640 is an equidigital number, since it uses as much as digits as its factorization.

157528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 157528640 is about 12551.0413910560. The cubic root of 157528640 is about 540.0738810665.

The spelling of 157528640 in words is "one hundred fifty-seven million, five hundred twenty-eight thousand, six hundred forty".