137938639200 has 576 divisors, whose sum is σ = 498843696960. Its totient is φ = 32947568640.

The previous prime is 137938639177. The next prime is 137938639211. The reversal of 137938639200 is 2936839731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86372802 + ... + 86374398.

It is an arithmetic number, because the mean of its divisors is an integer number (866048085).

Almost surely, 2^137938639200 is an apocalyptic number.

137938639200 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 137938639200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249421848480).

137938639200 is an abundant number, since it is smaller than the sum of its proper divisors (360905057760).

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

137938639200 is a wasteful number, since it uses less digits than its factorization.

137938639200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 137938639200 in words is "one hundred thirty-seven billion, nine hundred thirty-eight million, six hundred thirty-nine thousand, two hundred".