137707997056091 has 48 divisors (see below), whose sum is σ = 175060411799040. Its totient is φ = 107116791909120.

The previous prime is 137707997056057. The next prime is 137707997056093. The reversal of 137707997056091 is 190650799707731.

It is not a de Polignac number, because 137707997056091 - 2³⁴ = 137690817186907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137707997056093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724192115 + ... + 724382243.

It is an arithmetic number, because the mean of its divisors is an integer number (3647091912480).

Almost surely, 2^{137707997056091} is an apocalyptic number.

137707997056091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137707997056091 is a deficient number, since it is larger than the sum of its proper divisors (37352414742949).

137707997056091 is a wasteful number, since it uses less digits than its factorization.

137707997056091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192504 (or 192497 counting only the distinct ones).

The product of its (nonzero) digits is 157529610, while the sum is 71.

The spelling of 137707997056091 in words is "one hundred thirty-seven trillion, seven hundred seven billion, nine hundred ninety-seven million, fifty-six thousand, ninety-one".