137628826731 has 64 divisors (see below), whose sum is σ = 226827110400. Its totient is φ = 81774554400.

The previous prime is 137628826681. The next prime is 137628826739.

It is a happy number.

137628826731 is a `hidden beast` number, since 1 + 3 + 7 + 628 + 8 + 2 + 6 + 7 + 3 + 1 = 666.

137628826731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 137628826731 - 2¹⁵ = 137628793963 is a prime.

It is a super-2 number, since 2×137628826731² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137628826739) 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, 4182300 + ... + 4215078.

It is an arithmetic number, because the mean of its divisors is an integer number (3544173600).

Almost surely, 2^137628826731 is an apocalyptic number.

137628826731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137628826731 is a deficient number, since it is larger than the sum of its proper divisors (89198283669).

137628826731 is a wasteful number, since it uses less digits than its factorization.

137628826731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33077 (or 33071 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 137628826731 in words is "one hundred thirty-seven billion, six hundred twenty-eight million, eight hundred twenty-six thousand, seven hundred thirty-one".