137999635200 has 1080 divisors, whose sum is σ = 617718400992. Its totient is φ = 29674045440.

The previous prime is 137999635199. The next prime is 137999635223. The reversal of 137999635200 is 2536999731.

It is a happy number.

137999635200 is a `hidden beast` number, since 1 + 379 + 9 + 9 + 63 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61688482 + ... + 61690718.

Almost surely, 2^137999635200 is an apocalyptic number.

137999635200 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 137999635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308859200496).

137999635200 is an abundant number, since it is smaller than the sum of its proper divisors (479718765792).

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

137999635200 is a wasteful number, since it uses less digits than its factorization.

137999635200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 137999635200 in words is "one hundred thirty-seven billion, nine hundred ninety-nine million, six hundred thirty-five thousand, two hundred".