157046800 has 60 divisors (see below), whose sum is σ = 379725696. Its totient is φ = 62416000.

The previous prime is 157046797. The next prime is 157046807. The reversal of 157046800 is 8640751.

It is not an unprimeable number, because it can be changed into a prime (157046807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65625 + ... + 67975.

Almost surely, 2^157046800 is an apocalyptic number.

157046800 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 157046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189862848).

157046800 is an abundant number, since it is smaller than the sum of its proper divisors (222678896).

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

157046800 is a wasteful number, since it uses less digits than its factorization.

157046800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 157046800 is about 12531.8314702999. The cubic root of 157046800 is about 539.5226691819.

The spelling of 157046800 in words is "one hundred fifty-seven million, forty-six thousand, eight hundred".