137957294097 has 32 divisors (see below), whose sum is σ = 237064755200. Its totient is φ = 77656124304.

The previous prime is 137957294063. The next prime is 137957294107. The reversal of 137957294097 is 790492759731.

137957294097 is a `hidden beast` number, since 13 + 7 + 9 + 572 + 9 + 40 + 9 + 7 = 666.

It is not a de Polignac number, because 137957294097 - 2¹¹ = 137957292049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (137957292097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5434597 + ... + 5459922.

It is an arithmetic number, because the mean of its divisors is an integer number (7408273600).

Almost surely, 2^137957294097 is an apocalyptic number.

It is an amenable number.

137957294097 is a deficient number, since it is larger than the sum of its proper divisors (99107461103).

137957294097 is a wasteful number, since it uses less digits than its factorization.

137957294097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894602 (or 10894596 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 137957294097 in words is "one hundred thirty-seven billion, nine hundred fifty-seven million, two hundred ninety-four thousand, ninety-seven".