157009008 has 240 divisors, whose sum is σ = 500030496. Its totient is φ = 42024960.

The previous prime is 157009007. The next prime is 157009033. The reversal of 157009008 is 800900751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157009007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3829468 + ... + 3829508.

Almost surely, 2^157009008 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 157009008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250015248).

157009008 is an abundant number, since it is smaller than the sum of its proper divisors (343021488).

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

157009008 is a wasteful number, since it uses less digits than its factorization.

157009008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 157009008 is about 12530.3235393185. The cubic root of 157009008 is about 539.4793885028.

Adding to 157009008 its reverse (800900751), we get a palindrome (957909759).

The spelling of 157009008 in words is "one hundred fifty-seven million, nine thousand, eight".