137813934720 has 384 divisors, whose sum is σ = 557460273600. Its totient is φ = 28636446720.

The previous prime is 137813934689. The next prime is 137813934749. The reversal of 137813934720 is 27439318731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 137813934720.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968296 + ... + 1101464.

Almost surely, 2^137813934720 is an apocalyptic number.

137813934720 is a gapful number since it is divisible by the number (10) 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 137813934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278730136800).

137813934720 is an abundant number, since it is smaller than the sum of its proper divisors (419646338880).

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

137813934720 is a wasteful number, since it uses less digits than its factorization.

137813934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133216 (or 133197 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 137813934720 in words is "one hundred thirty-seven billion, eight hundred thirteen million, nine hundred thirty-four thousand, seven hundred twenty".