157188900 has 288 divisors, whose sum is σ = 549964800. Its totient is φ = 34214400.

The previous prime is 157188893. The next prime is 157188947. The reversal of 157188900 is 9881751.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1442046 + ... + 1442154.

It is an arithmetic number, because the mean of its divisors is an integer number (1909600).

Almost surely, 2^157188900 is an apocalyptic number.

157188900 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 157188900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

157188900 is an abundant number, since it is smaller than the sum of its proper divisors (392775900).

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

157188900 is a wasteful number, since it uses less digits than its factorization.

157188900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 157188900 is about 12537.4997507478. The cubic root of 157188900 is about 539.6853448084.

The spelling of 157188900 in words is "one hundred fifty-seven million, one hundred eighty-eight thousand, nine hundred".