137929344 has 192 divisors, whose sum is σ = 442223040. Its totient is φ = 37306368.

The previous prime is 137929333. The next prime is 137929369. The reversal of 137929344 is 443929731.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 137929296 and 137929305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1421904 + ... + 1422000.

It is an arithmetic number, because the mean of its divisors is an integer number (2303245).

Almost surely, 2^137929344 is an apocalyptic number.

137929344 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 137929344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221111520).

137929344 is an abundant number, since it is smaller than the sum of its proper divisors (304293696).

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

137929344 is an equidigital number, since it uses as much as digits as its factorization.

137929344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 137929344 is about 11744.3324203634. The cubic root of 137929344 is about 516.6767156330.

The spelling of 137929344 in words is "one hundred thirty-seven million, nine hundred twenty-nine thousand, three hundred forty-four".