2157515136 has 256 divisors, whose sum is σ = 7357708800. Its totient is φ = 609638400.

The previous prime is 2157515131. The next prime is 2157515167. The reversal of 2157515136 is 6315157512.

It is a happy number.

2157515136 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 515 + 136 = 666.

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 2157515136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157515131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2442951 + ... + 2443833.

It is an arithmetic number, because the mean of its divisors is an integer number (28741050).

Almost surely, 2^2157515136 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 2157515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678854400).

2157515136 is an abundant number, since it is smaller than the sum of its proper divisors (5200193664).

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

2157515136 is a wasteful number, since it uses less digits than its factorization.

2157515136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 996 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The square root of 2157515136 is about 46449.0595814382. The cubic root of 2157515136 is about 1292.1649314826.

The spelling of 2157515136 in words is "two billion, one hundred fifty-seven million, five hundred fifteen thousand, one hundred thirty-six".