137927899200 has 672 divisors, whose sum is σ = 559194598144. Its totient is φ = 28983951360.

The previous prime is 137927899189. The next prime is 137927899243. The reversal of 137927899200 is 2998729731.

It is a tau number, because it is divible by the number of its divisors (672).

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, 147201132 + ... + 147202068.

Almost surely, 2^137927899200 is an apocalyptic number.

137927899200 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 137927899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279597299072).

137927899200 is an abundant number, since it is smaller than the sum of its proper divisors (421266698944).

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

137927899200 is a wasteful number, since it uses less digits than its factorization.

137927899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 137927899200 in words is "one hundred thirty-seven billion, nine hundred twenty-seven million, eight hundred ninety-nine thousand, two hundred".