2132153856 has 480 divisors, whose sum is σ = 7660224000. Its totient is φ = 568995840.

The previous prime is 2132153833. The next prime is 2132153857. The reversal of 2132153856 is 6583512312.

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

Its product of digits (43200) is a multiple of the sum of its prime factors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 2132153856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132153857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30030301 + ... + 30030371.

It is an arithmetic number, because the mean of its divisors is an integer number (15958800).

Almost surely, 2^2132153856 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 2132153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830112000).

2132153856 is an abundant number, since it is smaller than the sum of its proper divisors (5528070144).

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

2132153856 is an equidigital number, since it uses as much as digits as its factorization.

2132153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2132153856 is about 46175.2515531859. The cubic root of 2132153856 is about 1287.0818913955.

The spelling of 2132153856 in words is "two billion, one hundred thirty-two million, one hundred fifty-three thousand, eight hundred fifty-six".