137444181444731 has 8 divisors (see below), whose sum is σ = 157079220729600. Its totient is φ = 117809181215208.

The previous prime is 137444181444727. The next prime is 137444181444743.

It is a happy number.

137444181444731 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137444181444731 - 2² = 137444181444727 is a prime.

It is a super-2 number, since 2×137444181444731² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137444181444701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1788341 + ... + 16675926.

It is an arithmetic number, because the mean of its divisors is an integer number (19634902591200).

Almost surely, 2^{137444181444731} is an apocalyptic number.

137444181444731 is a deficient number, since it is larger than the sum of its proper divisors (19635039284869).

137444181444731 is a wasteful number, since it uses less digits than its factorization.

137444181444731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19527673.

The product of its digits is 14450688, while the sum is 56.

The spelling of 137444181444731 in words is "one hundred thirty-seven trillion, four hundred forty-four billion, one hundred eighty-one million, four hundred forty-four thousand, seven hundred thirty-one".