157528608 has 96 divisors (see below), whose sum is σ = 437133312. Its totient is φ = 49593600.

The previous prime is 157528603. The next prime is 157528621. The reversal of 157528608 is 806825751.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 157528608.

It is not an unprimeable number, because it can be changed into a prime (157528603) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127353 + ... + 128583.

It is an arithmetic number, because the mean of its divisors is an integer number (4553472).

Almost surely, 2^157528608 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 157528608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218566656).

157528608 is an abundant number, since it is smaller than the sum of its proper divisors (279604704).

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

157528608 is a wasteful number, since it uses less digits than its factorization.

157528608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 157528608 is about 12551.0401162613. The cubic root of 157528608 is about 540.0738444967.

The spelling of 157528608 in words is "one hundred fifty-seven million, five hundred twenty-eight thousand, six hundred eight".