157157000 has 256 divisors, whose sum is σ = 496903680. Its totient is φ = 44928000.

The previous prime is 157156997. The next prime is 157157017. The reversal of 157157000 is 751751.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1000922 + ... + 1001078.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 2^157157000 is an apocalyptic number.

157157000 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 157157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248451840).

157157000 is an abundant number, since it is smaller than the sum of its proper divisors (339746680).

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

157157000 is a wasteful number, since it uses less digits than its factorization.

157157000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 26.

The square root of 157157000 is about 12536.2275027219. The cubic root of 157157000 is about 539.6488343270.

The spelling of 157157000 in words is "one hundred fifty-seven million, one hundred fifty-seven thousand".