2132917057152 has 384 divisors, whose sum is σ = 7422619576320. Its totient is φ = 574695475200.

The previous prime is 2132917057151. The next prime is 2132917057171. The reversal of 2132917057152 is 2517507192312.

2132917057152 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 9 + 1 + 70 + 571 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2132917057152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2132917057098 and 2132917057107.

It is not an unprimeable number, because it can be changed into a prime (2132917057151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13087527 + ... + 13249497.

It is an arithmetic number, because the mean of its divisors is an integer number (19329738480).

Almost surely, 2^{2132917057152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132917057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711309788160).

2132917057152 is an abundant number, since it is smaller than the sum of its proper divisors (5289702519168).

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

2132917057152 is a wasteful number, since it uses less digits than its factorization.

2132917057152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162092 (or 162077 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 2132917057152 in words is "two trillion, one hundred thirty-two billion, nine hundred seventeen million, fifty-seven thousand, one hundred fifty-two".