157667120 has 40 divisors (see below), whose sum is σ = 394776816. Its totient is φ = 58215168.

The previous prime is 157667119. The next prime is 157667123. The reversal of 157667120 is 21766751.

157667120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (157667123) 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, 74762 + ... + 76841.

Almost surely, 2^157667120 is an apocalyptic number.

157667120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157667120 is an abundant number, since it is smaller than the sum of its proper divisors (237109696).

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

157667120 is a wasteful number, since it uses less digits than its factorization.

157667120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151629 (or 151623 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 157667120 is about 12556.5568528956. The cubic root of 157667120 is about 540.2320904488.

The spelling of 157667120 in words is "one hundred fifty-seven million, six hundred sixty-seven thousand, one hundred twenty".