137949676059204 has 405 divisors, whose sum is σ = 387357634196071. Its totient is φ = 42801380743680.

The previous prime is 137949676059199. The next prime is 137949676059229. The reversal of 137949676059204 is 402950676949731.

The square root of 137949676059204 is 11745198.

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

137949676059204 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 4 + 9 + 6 + 7 + 605 + 9 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77399490099204 + 60550185960000 = 8797698^2 + 7781400^2 .

It is a super-2 number, since 2×137949676059204² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 470818006882 + ... + 470818007174.

Almost surely, 2^{137949676059204} is an apocalyptic number.

137949676059204 is the 11745198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137949676059204

137949676059204 is an abundant number, since it is smaller than the sum of its proper divisors (249407958136867).

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

137949676059204 is an equidigital number, since it uses as much as digits as its factorization.

137949676059204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 137949676059204 in words is "one hundred thirty-seven trillion, nine hundred forty-nine billion, six hundred seventy-six million, fifty-nine thousand, two hundred four".