137014064775 has 72 divisors (see below), whose sum is σ = 280755837024. Its totient is φ = 62570188800.

The previous prime is 137014064753. The next prime is 137014064777. The reversal of 137014064775 is 577460410731.

137014064775 is a `hidden beast` number, since 1 + 37 + 0 + 140 + 6 + 477 + 5 = 666.

It is not a de Polignac number, because 137014064775 - 2⁵ = 137014064743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 137014064775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137014064777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1494255 + ... + 1583295.

Almost surely, 2^137014064775 is an apocalyptic number.

137014064775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137014064775 is an abundant number, since it is smaller than the sum of its proper divisors (143741772249).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137014064775 is a wasteful number, since it uses less digits than its factorization.

137014064775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90041 (or 90033 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 137014064775 in words is "one hundred thirty-seven billion, fourteen million, sixty-four thousand, seven hundred seventy-five".