157391100 has 252 divisors, whose sum is σ = 546465024. Its totient is φ = 39191040.

The previous prime is 157391089. The next prime is 157391119. The reversal of 157391100 is 1193751.

It is a happy number.

157391100 is a `hidden beast` number, since 1 + 573 + 91 + 1 + 0 + 0 = 666.

157391100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1239237 + ... + 1239363.

It is an arithmetic number, because the mean of its divisors is an integer number (2168512).

Almost surely, 2^157391100 is an apocalyptic number.

157391100 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 157391100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273232512).

157391100 is an abundant number, since it is smaller than the sum of its proper divisors (389073924).

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

157391100 is a wasteful number, since it uses less digits than its factorization.

157391100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 157391100 is about 12545.5609679281. The cubic root of 157391100 is about 539.9166538033.

The spelling of 157391100 in words is "one hundred fifty-seven million, three hundred ninety-one thousand, one hundred".