137952460791 has 24 divisors (see below), whose sum is σ = 199745520000. Its totient is φ = 91746609552.

The previous prime is 137952460747. The next prime is 137952460813. The reversal of 137952460791 is 197064259731.

137952460791 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 5 + 24 + 607 + 9 + 1 = 666.

It is not a de Polignac number, because 137952460791 - 2⁹ = 137952460279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137952460091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7856700 + ... + 7874238.

It is an arithmetic number, because the mean of its divisors is an integer number (8322730000).

Almost surely, 2^137952460791 is an apocalyptic number.

137952460791 is a deficient number, since it is larger than the sum of its proper divisors (61793059209).

137952460791 is a wasteful number, since it uses less digits than its factorization.

137952460791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19603 (or 19600 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 137952460791 in words is "one hundred thirty-seven billion, nine hundred fifty-two million, four hundred sixty thousand, seven hundred ninety-one".