157638160 has 40 divisors (see below), whose sum is σ = 367041240. Its totient is φ = 62963712.

The previous prime is 157638157. The next prime is 157638163. The reversal of 157638160 is 61836751.

It is an interprime number because it is at equal distance from previous prime (157638157) and next prime (157638163).

It can be written as a sum of positive squares in 4 ways, for example, as 14500864 + 143137296 = 3808^2 + 11964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (157638163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91386 + ... + 93094.

It is an arithmetic number, because the mean of its divisors is an integer number (9176031).

Almost surely, 2^157638160 is an apocalyptic number.

157638160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157638160 is an abundant number, since it is smaller than the sum of its proper divisors (209403080).

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

157638160 is a wasteful number, since it uses less digits than its factorization.

157638160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 157638160 is about 12555.4036175664. The cubic root of 157638160 is about 540.1990121521.

The spelling of 157638160 in words is "one hundred fifty-seven million, six hundred thirty-eight thousand, one hundred sixty".