137714404417731 has 16 divisors (see below), whose sum is σ = 206041353148320. Its totient is φ = 90900596973600.

The previous prime is 137714404417673. The next prime is 137714404417753.

137714404417731 is a `hidden beast` number, since 1 + 37 + 7 + 1 + 4 + 404 + 4 + 177 + 31 = 666.

137714404417731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 137714404417731 - 2²³ = 137714396029123 is a prime.

It is a super-2 number, since 2×137714404417731² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137714404417631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25250163100 + ... + 25250168553.

It is an arithmetic number, because the mean of its divisors is an integer number (12877584571770).

Almost surely, 2^{137714404417731} is an apocalyptic number.

137714404417731 is a deficient number, since it is larger than the sum of its proper divisors (68326948730589).

137714404417731 is a wasteful number, since it uses less digits than its factorization.

137714404417731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50500331763 (or 50500331757 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 137714404417731 in words is "one hundred thirty-seven trillion, seven hundred fourteen billion, four hundred four million, four hundred seventeen thousand, seven hundred thirty-one".