137684736 has 108 divisors (see below), whose sum is σ = 453743472. Its totient is φ = 39333888.

The previous prime is 137684707. The next prime is 137684741. The reversal of 137684736 is 637486731.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 137684691 and 137684700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11860 + ... + 20396.

Almost surely, 2^137684736 is an apocalyptic number.

137684736 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 137684736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226871736).

137684736 is an abundant number, since it is smaller than the sum of its proper divisors (316058736).

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

137684736 is an equidigital number, since it uses as much as digits as its factorization.

137684736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8566 (or 8549 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 137684736 is about 11733.9139250294. The cubic root of 137684736 is about 516.3711049517.

The spelling of 137684736 in words is "one hundred thirty-seven million, six hundred eighty-four thousand, seven hundred thirty-six".