137557644 has 96 divisors (see below), whose sum is σ = 391372800. Its totient is φ = 36728640.

The previous prime is 137557639. The next prime is 137557661. The reversal of 137557644 is 446755731.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 137557596 and 137557605.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 125539 + ... + 126629.

It is an arithmetic number, because the mean of its divisors is an integer number (4076800).

Almost surely, 2^137557644 is an apocalyptic number.

137557644 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 137557644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686400).

137557644 is an abundant number, since it is smaller than the sum of its proper divisors (253815156).

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

137557644 is a wasteful number, since it uses less digits than its factorization.

137557644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1201 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 137557644 is about 11728.4970904204. The cubic root of 137557644 is about 516.2121746270.

The spelling of 137557644 in words is "one hundred thirty-seven million, five hundred fifty-seven thousand, six hundred forty-four".