2065157136 has 135 divisors (see below), whose sum is σ = 6735625533. Its totient is φ = 588954240.

The previous prime is 2065157123. The next prime is 2065157153. The reversal of 2065157136 is 6317515602.

The square root of 2065157136 is 45444.

It is a perfect power (a square), and thus also a powerful number.

2065157136 is a `hidden beast` number, since 2 + 0 + 6 + 51 + 571 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 820478736 + 1244678400 = 28644^2 + 35280^2 .

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 2065157136.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3817026 + ... + 3817566.

Almost surely, 2^2065157136 is an apocalyptic number.

2065157136 is the 45444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2065157136

2065157136 is an abundant number, since it is smaller than the sum of its proper divisors (4670468397).

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

2065157136 is an equidigital number, since it uses as much as digits as its factorization.

2065157136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The cubic root of 2065157136 is about 1273.4572417332.

Multiplying 2065157136 by its sum of digits (36), we get a square (74345656896 = 272664²).

2065157136 divided by its sum of digits (36) gives a square (57365476 = 7574²).

It can be divided in two parts, 2065 and 157136, that added together give a square (159201 = 399²).

The spelling of 2065157136 in words is "two billion, sixty-five million, one hundred fifty-seven thousand, one hundred thirty-six".