137370264150912 has 256 divisors, whose sum is σ = 393922107532800. Its totient is φ = 42164176084992.

The previous prime is 137370264150883. The next prime is 137370264150919. The reversal of 137370264150912 is 219051462073731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137370264150919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5699289453 + ... + 5699313555.

It is an arithmetic number, because the mean of its divisors is an integer number (1538758232550).

Almost surely, 2^{137370264150912} is an apocalyptic number.

137370264150912 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 137370264150912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196961053766400).

137370264150912 is an abundant number, since it is smaller than the sum of its proper divisors (256551843381888).

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

137370264150912 is a wasteful number, since it uses less digits than its factorization.

137370264150912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26885 (or 26873 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 137370264150912 in words is "one hundred thirty-seven trillion, three hundred seventy billion, two hundred sixty-four million, one hundred fifty thousand, nine hundred twelve".