137380629312 has 84 divisors (see below), whose sum is σ = 408361140096. Its totient is φ = 45793537920.

The previous prime is 137380629307. The next prime is 137380629319. The reversal of 137380629312 is 213926083731.

137380629312 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 8 + 0 + 629 + 3 + 12 = 666.

It is a super-2 number, since 2×137380629312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137380629319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4401264 + ... + 4432367.

It is an arithmetic number, because the mean of its divisors is an integer number (4861442144).

Almost surely, 2^137380629312 is an apocalyptic number.

137380629312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137380629312 is an abundant number, since it is smaller than the sum of its proper divisors (270980510784).

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

137380629312 is an frugal number, since it uses more digits than its factorization.

137380629312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833658 (or 8833636 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 137380629312 in words is "one hundred thirty-seven billion, three hundred eighty million, six hundred twenty-nine thousand, three hundred twelve".