157946900 has 18 divisors (see below), whose sum is σ = 342744990. Its totient is φ = 63178720.

The previous prime is 157946857. The next prime is 157946903. The reversal of 157946900 is 9649751.

It can be written as a sum of positive squares in 3 ways, for example, as 293764 + 157653136 = 542^2 + 12556^2 .

It is a super-2 number, since 2×157946900² = 49894446439220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157946903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 789635 + ... + 789834.

Almost surely, 2^157946900 is an apocalyptic number.

157946900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157946900 is an abundant number, since it is smaller than the sum of its proper divisors (184798090).

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

157946900 is a wasteful number, since it uses less digits than its factorization.

157946900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579483 (or 1579476 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 157946900 is about 12567.6927078919. The cubic root of 157946900 is about 540.5514485569.

The spelling of 157946900 in words is "one hundred fifty-seven million, nine hundred forty-six thousand, nine hundred".