137444415381 has 192 divisors, whose sum is σ = 280201420800. Its totient is φ = 65692674432.

The previous prime is 137444415349. The next prime is 137444415413. The reversal of 137444415381 is 183514444731.

137444415381 is a `hidden beast` number, since 1 + 3 + 74 + 4 + 4 + 41 + 538 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (137444415349) and next prime (137444415413).

It is not a de Polignac number, because 137444415381 - 2⁵ = 137444415349 is a prime.

It is a super-2 number, since 2×137444415381² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137444415301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7506820 + ... + 7525106.

It is an arithmetic number, because the mean of its divisors is an integer number (1459382400).

Almost surely, 2^137444415381 is an apocalyptic number.

It is an amenable number.

137444415381 is an abundant number, since it is smaller than the sum of its proper divisors (142757005419).

137444415381 is a wasteful number, since it uses less digits than its factorization.

137444415381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18365 (or 18352 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 137444415381 in words is "one hundred thirty-seven billion, four hundred forty-four million, four hundred fifteen thousand, three hundred eighty-one".