137864414124 has 216 divisors, whose sum is σ = 382894319808. Its totient is φ = 43368035040.

The previous prime is 137864414033. The next prime is 137864414147. The reversal of 137864414124 is 421414468731.

137864414124 is a `hidden beast` number, since 1 + 3 + 7 + 86 + 441 + 4 + 124 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137864414124.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116144659 + ... + 116145845.

It is an arithmetic number, because the mean of its divisors is an integer number (1772658888).

Almost surely, 2^137864414124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137864414124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191447159904).

137864414124 is an abundant number, since it is smaller than the sum of its proper divisors (245029905684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137864414124 is a wasteful number, since it uses less digits than its factorization.

137864414124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1542 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 137864414124 in words is "one hundred thirty-seven billion, eight hundred sixty-four million, four hundred fourteen thousand, one hundred twenty-four".