137379844 has 48 divisors (see below), whose sum is σ = 285626880. Its totient is φ = 56568960.

The previous prime is 137379841. The next prime is 137379859. The reversal of 137379844 is 448973731.

It is a junction number, because it is equal to n+sod(n) for n = 137379794 and 137379803.

It is not an unprimeable number, because it can be changed into a prime (137379841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297774 + ... + 298234.

It is an arithmetic number, because the mean of its divisors is an integer number (5950560).

Almost surely, 2^137379844 is an apocalyptic number.

137379844 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 137379844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142813440).

137379844 is an abundant number, since it is smaller than the sum of its proper divisors (148247036).

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

137379844 is a wasteful number, since it uses less digits than its factorization.

137379844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 866 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The square root of 137379844 is about 11720.9148107134. The cubic root of 137379844 is about 515.9896688836.

The spelling of 137379844 in words is "one hundred thirty-seven million, three hundred seventy-nine thousand, eight hundred forty-four".