137682944 has 84 divisors (see below), whose sum is σ = 321237864. Its totient is φ = 59006976.

The previous prime is 137682889. The next prime is 137682953. The reversal of 137682944 is 449286731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (290304) is a multiple of the sum of its prime divisors (9).

It is a junction number, because it is equal to n+sod(n) for n = 137682895 and 137682904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19668989 + ... + 19668995.

Almost surely, 2^137682944 is an apocalyptic number.

137682944 is a gapful number since it is divisible by the number (14) 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 137682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160618932).

137682944 is an abundant number, since it is smaller than the sum of its proper divisors (183554920).

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

137682944 is an frugal number, since it uses more digits than its factorization.

137682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 9 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 137682944 is about 11733.8375649231. The cubic root of 137682944 is about 516.3688647105.

Multiplying 137682944 by its product of digits (290304), we get a square (39969909374976 = 6322176²).

The spelling of 137682944 in words is "one hundred thirty-seven million, six hundred eighty-two thousand, nine hundred forty-four".