137242911965184 has 513 divisors, whose sum is σ = 412189122605533. Its totient is φ = 44002185314304.

The previous prime is 137242911965179. The next prime is 137242911965191. The reversal of 137242911965184 is 481569119242731.

The square root of 137242911965184 is 11715072.

It is a perfect power (a square), and thus also a powerful number.

137242911965184 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 4 + 29 + 1 + 1 + 96 + 518 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71966853955584 + 65276058009600 = 8483328^2 + 8079360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 521836167037 + ... + 521836167299.

Almost surely, 2^{137242911965184} is an apocalyptic number.

137242911965184 is the 11715072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137242911965184

137242911965184 is an abundant number, since it is smaller than the sum of its proper divisors (274946210640349).

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

137242911965184 is an frugal number, since it uses more digits than its factorization.

137242911965184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 297 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

It can be divided in two parts, 137 and 242911965184, that added together give a square (242911965321 = 492861²).

The spelling of 137242911965184 in words is "one hundred thirty-seven trillion, two hundred forty-two billion, nine hundred eleven million, nine hundred sixty-five thousand, one hundred eighty-four".