137839098652272 has 360 divisors, whose sum is σ = 411716431560096. Its totient is φ = 44670284434944.

The previous prime is 137839098652217. The next prime is 137839098652303. The reversal of 137839098652272 is 272256890938731.

137839098652272 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 3 + 9 + 0 + 98 + 6 + 522 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 137839098652272.

It is a congruent number.

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, 5332872853 + ... + 5332898699.

Almost surely, 2^{137839098652272} is an apocalyptic number.

137839098652272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137839098652272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205858215780048).

137839098652272 is an abundant number, since it is smaller than the sum of its proper divisors (273877332907824).

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

137839098652272 is an equidigital number, since it uses as much as digits as its factorization.

137839098652272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27289 (or 27262 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 137839098652272 in words is "one hundred thirty-seven trillion, eight hundred thirty-nine billion, ninety-eight million, six hundred fifty-two thousand, two hundred seventy-two".