157107681 has 30 divisors (see below), whose sum is σ = 240505650. Its totient is φ = 102205152.

The previous prime is 157107649. The next prime is 157107683. The reversal of 157107681 is 186701751.

It is a happy number.

157107681 is a `hidden beast` number, since 1 + 571 + 0 + 7 + 6 + 81 = 666.

157107681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 153363456 + 3744225 = 12384^2 + 1935^2 .

It is not a de Polignac number, because 157107681 - 2⁵ = 157107649 is a prime.

It is a super-2 number, since 2×157107681² = 49365646858395522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157107683) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 149245 + ... + 150293.

It is an arithmetic number, because the mean of its divisors is an integer number (8016855).

Almost surely, 2^157107681 is an apocalyptic number.

It is an amenable number.

157107681 is a deficient number, since it is larger than the sum of its proper divisors (83397969).

157107681 is an equidigital number, since it uses as much as digits as its factorization.

157107681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 157107681 is about 12534.2602893031. The cubic root of 157107681 is about 539.5923775662.

The spelling of 157107681 in words is "one hundred fifty-seven million, one hundred seven thousand, six hundred eighty-one".