137680944 has 80 divisors (see below), whose sum is σ = 373261824. Its totient is φ = 43648000.

The previous prime is 137680919. The next prime is 137680957. The reversal of 137680944 is 449086731.

It is a super-2 number, since 2×137680944² = 37912084681462272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137680896 and 137680905.

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, 343144 + ... + 343544.

Almost surely, 2^137680944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137680944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186630912).

137680944 is an abundant number, since it is smaller than the sum of its proper divisors (235580880).

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

137680944 is a wasteful number, since it uses less digits than its factorization.

137680944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 137680944 is about 11733.7523410033. The cubic root of 137680944 is about 516.3663644184.

The spelling of 137680944 in words is "one hundred thirty-seven million, six hundred eighty thousand, nine hundred forty-four".