137644920 has 432 divisors, whose sum is σ = 573267240. Its totient is φ = 29611008.

The previous prime is 137644909. The next prime is 137644951. The reversal of 137644920 is 29446731.

137644920 is a `hidden beast` number, since 1 + 3 + 7 + 644 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×137644920² = 37892248003612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8096752 + ... + 8096768.

Almost surely, 2^137644920 is an apocalyptic number.

137644920 is a gapful number since it is divisible by the number (10) 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 137644920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286633620).

137644920 is an abundant number, since it is smaller than the sum of its proper divisors (435622320).

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

137644920 is a wasteful number, since it uses less digits than its factorization.

137644920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 137644920 is about 11732.2171817607. The cubic root of 137644920 is about 516.3213250108.

The spelling of 137644920 in words is "one hundred thirty-seven million, six hundred forty-four thousand, nine hundred twenty".