137309682816 has 128 divisors (see below), whose sum is σ = 405454406400. Its totient is φ = 45747293184.

The previous prime is 137309682803. The next prime is 137309682859. The reversal of 137309682816 is 618286903731.

137309682816 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7915945 + ... + 7933271.

It is an arithmetic number, because the mean of its divisors is an integer number (3167612550).

Almost surely, 2^137309682816 is an apocalyptic number.

137309682816 is a gapful number since it is divisible by the number (16) 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 137309682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202727203200).

137309682816 is an abundant number, since it is smaller than the sum of its proper divisors (268144723584).

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

137309682816 is a wasteful number, since it uses less digits than its factorization.

137309682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19643 (or 19625 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 137309682816 in words is "one hundred thirty-seven billion, three hundred nine million, six hundred eighty-two thousand, eight hundred sixteen".