2137919313600 has 1260 divisors, whose sum is σ = 9293010075360. Its totient is φ = 480569241600.

The previous prime is 2137919313457. The next prime is 2137919313617. The reversal of 2137919313600 is 63139197312.

2137919313600 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 9 + 1 + 9 + 31 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 387371641 + ... + 387377159.

Almost surely, 2^{2137919313600} is an apocalyptic number.

2137919313600 is a gapful number since it is divisible by the number (20) 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 2137919313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646505037680).

2137919313600 is an abundant number, since it is smaller than the sum of its proper divisors (7155090761760).

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

2137919313600 is a wasteful number, since it uses less digits than its factorization.

2137919313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 2137919313600 in words is "two trillion, one hundred thirty-seven billion, nine hundred nineteen million, three hundred thirteen thousand, six hundred".