157008000 has 128 divisors (see below), whose sum is σ = 520640640. Its totient is φ = 41856000.

The previous prime is 157007953. The next prime is 157008023. The reversal of 157008000 is 800751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46365 + ... + 49635.

It is an arithmetic number, because the mean of its divisors is an integer number (4067505).

Almost surely, 2^157008000 is an apocalyptic number.

157008000 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 157008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260320320).

157008000 is an abundant number, since it is smaller than the sum of its proper divisors (363632640).

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

157008000 is an equidigital number, since it uses as much as digits as its factorization.

157008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 157008000 is about 12530.2833168289. The cubic root of 157008000 is about 539.4782340120.

Adding to 157008000 its reverse (800751), we get a palindrome (157808751).

The spelling of 157008000 in words is "one hundred fifty-seven million, eight thousand".