2133125125560 has 512 divisors, whose sum is σ = 8447410944000. Its totient is φ = 471976243200.

The previous prime is 2133125125541. The next prime is 2133125125589. The reversal of 2133125125560 is 655215213312.

2133125125560 is a `hidden beast` number, since 2 + 1 + 3 + 31 + 2 + 512 + 55 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13667565 + ... + 13822755.

It is an arithmetic number, because the mean of its divisors is an integer number (16498849500).

Almost surely, 2^{2133125125560} is an apocalyptic number.

2133125125560 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 2133125125560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223705472000).

2133125125560 is an abundant number, since it is smaller than the sum of its proper divisors (6314285818440).

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

2133125125560 is a wasteful number, since it uses less digits than its factorization.

2133125125560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155324 (or 155314 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 2133125125560 in words is "two trillion, one hundred thirty-three billion, one hundred twenty-five million, one hundred twenty-five thousand, five hundred sixty".