2256138153 has 24 divisors (see below), whose sum is σ = 3470550408. Its totient is φ = 1407416832.

The previous prime is 2256138151. The next prime is 2256138167. The reversal of 2256138153 is 3518316522.

2256138153 is a `hidden beast` number, since 2 + 25 + 613 + 8 + 15 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1327290624 + 928847529 = 36432^2 + 30477^2 .

It is not a de Polignac number, because 2256138153 - 2¹ = 2256138151 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2256138151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16150 + ... + 69087.

It is an arithmetic number, because the mean of its divisors is an integer number (144606267).

Almost surely, 2^2256138153 is an apocalyptic number.

It is an amenable number.

2256138153 is a deficient number, since it is larger than the sum of its proper divisors (1214412255).

2256138153 is a wasteful number, since it uses less digits than its factorization.

2256138153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85433 (or 85430 counting only the distinct ones).

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

The square root of 2256138153 is about 47498.8226485668. The cubic root of 2256138153 is about 1311.5612086167.

The spelling of 2256138153 in words is "two billion, two hundred fifty-six million, one hundred thirty-eight thousand, one hundred fifty-three".