137273934938112 has 612 divisors, whose sum is σ = 472044059126640. Its totient is φ = 38308658282496.

The previous prime is 137273934938093. The next prime is 137273934938141. The reversal of 137273934938112 is 211839439372731.

137273934938112 is a `hidden beast` number, since 1 + 3 + 7 + 27 + 3 + 9 + 3 + 493 + 8 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 137273934938112.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1242703939 + ... + 1242814397.

Almost surely, 2^{137273934938112} is an apocalyptic number.

137273934938112 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 137273934938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236022029563320).

137273934938112 is an abundant number, since it is smaller than the sum of its proper divisors (334770124188528).

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

137273934938112 is an equidigital number, since it uses as much as digits as its factorization.

137273934938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110554 (or 110514 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 137273934938112 in words is "one hundred thirty-seven trillion, two hundred seventy-three billion, nine hundred thirty-four million, nine hundred thirty-eight thousand, one hundred twelve".