137938944 has 192 divisors, whose sum is σ = 434790720. Its totient is φ = 38338560.

The previous prime is 137938909. The next prime is 137938949. The reversal of 137938944 is 449839731.

It is a happy number.

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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 137938893 and 137938902.

It is not an unprimeable number, because it can be changed into a prime (137938949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878514 + ... + 878670.

It is an arithmetic number, because the mean of its divisors is an integer number (2264535).

Almost surely, 2^137938944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217395360).

137938944 is an abundant number, since it is smaller than the sum of its proper divisors (296851776).

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

137938944 is a wasteful number, since it uses less digits than its factorization.

137938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 137938944 is about 11744.7411210294. The cubic root of 137938944 is about 516.6887024016.

The spelling of 137938944 in words is "one hundred thirty-seven million, nine hundred thirty-eight thousand, nine hundred forty-four".