137761998974769 has 64 divisors (see below), whose sum is σ = 206231802771456. Its totient is φ = 81222912000000.

The previous prime is 137761998974737. The next prime is 137761998974777. The reversal of 137761998974769 is 967479899167731.

It is a happy number.

It is not a de Polignac number, because 137761998974769 - 2⁵ = 137761998974737 is a prime.

It is a super-2 number, since 2×137761998974769² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (93).

It is not an unprimeable number, because it can be changed into a prime (137761998974969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1758452539 + ... + 1758530879.

It is an arithmetic number, because the mean of its divisors is an integer number (3222371918304).

Almost surely, 2^{137761998974769} is an apocalyptic number.

It is an amenable number.

137761998974769 is a deficient number, since it is larger than the sum of its proper divisors (68469803796687).

137761998974769 is a wasteful number, since it uses less digits than its factorization.

137761998974769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92890.

The product of its digits is 54442233216, while the sum is 93.

The spelling of 137761998974769 in words is "one hundred thirty-seven trillion, seven hundred sixty-one billion, nine hundred ninety-eight million, nine hundred seventy-four thousand, seven hundred sixty-nine".