137844672 has 56 divisors (see below), whose sum is σ = 416820096. Its totient is φ = 39383808.

The previous prime is 137844667. The next prime is 137844673. The reversal of 137844672 is 276448731.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137844673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49938 + ... + 52625.

It is an arithmetic number, because the mean of its divisors is an integer number (7443216).

Almost surely, 2^137844672 is an apocalyptic number.

137844672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137844672 is an abundant number, since it is smaller than the sum of its proper divisors (278975424).

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

137844672 is a wasteful number, since it uses less digits than its factorization.

137844672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102585 (or 102575 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 137844672 is about 11740.7270643687. The cubic root of 137844672 is about 516.5709682393.

The spelling of 137844672 in words is "one hundred thirty-seven million, eight hundred forty-four thousand, six hundred seventy-two".