157107167 has 16 divisors (see below), whose sum is σ = 182886912. Its totient is φ = 132179040.

The previous prime is 157107157. The next prime is 157107173. The reversal of 157107167 is 761701751.

It is not a de Polignac number, because 157107167 - 2⁶ = 157107103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157107157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140093 + ... + 141209.

It is an arithmetic number, because the mean of its divisors is an integer number (11430432).

Almost surely, 2^157107167 is an apocalyptic number.

157107167 is a deficient number, since it is larger than the sum of its proper divisors (25779745).

157107167 is a wasteful number, since it uses less digits than its factorization.

157107167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478.

The product of its (nonzero) digits is 10290, while the sum is 35.

The square root of 157107167 is about 12534.2397854836. The cubic root of 157107167 is about 539.5917891147.

The spelling of 157107167 in words is "one hundred fifty-seven million, one hundred seven thousand, one hundred sixty-seven".