137684256 has 96 divisors (see below), whose sum is σ = 380878848. Its totient is φ = 43464960.

The previous prime is 137684251. The next prime is 137684333. The reversal of 137684256 is 652486731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137684251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280171 + ... + 280661.

It is an arithmetic number, because the mean of its divisors is an integer number (3967488).

Almost surely, 2^137684256 is an apocalyptic number.

137684256 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 137684256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190439424).

137684256 is an abundant number, since it is smaller than the sum of its proper divisors (243194592).

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

137684256 is a wasteful number, since it uses less digits than its factorization.

137684256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 137684256 is about 11733.8934714783. The cubic root of 137684256 is about 516.3705048890.

The spelling of 137684256 in words is "one hundred thirty-seven million, six hundred eighty-four thousand, two hundred fifty-six".