137679444 has 72 divisors (see below), whose sum is σ = 399567168. Its totient is φ = 39156480.

The previous prime is 137679433. The next prime is 137679457. The reversal of 137679444 is 444976731.

137679444 is a `hidden beast` number, since 137 + 6 + 79 + 444 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137679444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59599 + ... + 61865.

It is an arithmetic number, because the mean of its divisors is an integer number (5549544).

Almost surely, 2^137679444 is an apocalyptic number.

137679444 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 137679444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199783584).

137679444 is an abundant number, since it is smaller than the sum of its proper divisors (261887724).

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

137679444 is a wasteful number, since it uses less digits than its factorization.

137679444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2520 counting only the distinct ones).

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

The square root of 137679444 is about 11733.6884226572. The cubic root of 137679444 is about 516.3644891835.

The spelling of 137679444 in words is "one hundred thirty-seven million, six hundred seventy-nine thousand, four hundred forty-four".