2132783136 has 480 divisors, whose sum is σ = 7493713920. Its totient is φ = 587865600.

The previous prime is 2132783113. The next prime is 2132783143. The reversal of 2132783136 is 6313872312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2132783136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16793505 + ... + 16793631.

It is an arithmetic number, because the mean of its divisors is an integer number (15611904).

Almost surely, 2^2132783136 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 2132783136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746856960).

2132783136 is an abundant number, since it is smaller than the sum of its proper divisors (5360930784).

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

2132783136 is a wasteful number, since it uses less digits than its factorization.

2132783136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2132783136 is about 46182.0650902491. The cubic root of 2132783136 is about 1287.2085012745.

The spelling of 2132783136 in words is "two billion, one hundred thirty-two million, seven hundred eighty-three thousand, one hundred thirty-six".