137589702912 has 216 divisors, whose sum is σ = 425111397984. Its totient is φ = 42644324352.

The previous prime is 137589702863. The next prime is 137589702953. The reversal of 137589702912 is 219207985731.

It is a happy number.

137589702912 is a `hidden beast` number, since 1 + 37 + 589 + 7 + 0 + 29 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3229783 + ... + 3272105.

It is an arithmetic number, because the mean of its divisors is an integer number (1968108324).

Almost surely, 2^137589702912 is an apocalyptic number.

137589702912 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 137589702912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212555698992).

137589702912 is an abundant number, since it is smaller than the sum of its proper divisors (287521695072).

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

137589702912 is a wasteful number, since it uses less digits than its factorization.

137589702912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42445 (or 42428 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 137589702912 in words is "one hundred thirty-seven billion, five hundred eighty-nine million, seven hundred two thousand, nine hundred twelve".