157137993 has 6 divisors (see below), whose sum is σ = 226977114. Its totient is φ = 104758656.

The previous prime is 157137983. The next prime is 157138027. The reversal of 157137993 is 399731751.

157137993 is a `hidden beast` number, since 1 + 571 + 3 + 79 + 9 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127848249 + 29289744 = 11307^2 + 5412^2 .

It is a de Polignac number, because none of the positive numbers 2^k-157137993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157137983) 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, 8729880 + ... + 8729897.

It is an arithmetic number, because the mean of its divisors is an integer number (37829519).

Almost surely, 2^157137993 is an apocalyptic number.

It is an amenable number.

157137993 is a deficient number, since it is larger than the sum of its proper divisors (69839121).

157137993 is a wasteful number, since it uses less digits than its factorization.

157137993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17459783 (or 17459780 counting only the distinct ones).

The product of its digits is 178605, while the sum is 45.

The square root of 157137993 is about 12535.4693968754. The cubic root of 157137993 is about 539.6270779116.

The spelling of 157137993 in words is "one hundred fifty-seven million, one hundred thirty-seven thousand, nine hundred ninety-three".