2137933163520 has 3168 divisors, whose sum is σ = 10381257331200. Its totient is φ = 407288217600.

The previous prime is 2137933163507. The next prime is 2137933163521. The reversal of 2137933163520 is 253613397312.

2137933163520 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 9 + 3 + 3 + 1 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137933163521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68965585905 + ... + 68965585935.

Almost surely, 2^{2137933163520} is an apocalyptic number.

2137933163520 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 2137933163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190628665600).

2137933163520 is an abundant number, since it is smaller than the sum of its proper divisors (8243324167680).

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

2137933163520 is a wasteful number, since it uses less digits than its factorization.

2137933163520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 2137933163520 in words is "two trillion, one hundred thirty-seven billion, nine hundred thirty-three million, one hundred sixty-three thousand, five hundred twenty".