11732139225 has 135 divisors (see below), whose sum is σ = 22781634733. Its totient is φ = 5968589760.

The previous prime is 11732139197. The next prime is 11732139239. The reversal of 11732139225 is 52293123711.

It is a happy number.

The square root of 11732139225 is 108315.

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

It can be written as a sum of positive squares in 4 ways, for example, as 161264601 + 11570874624 = 12699^2 + 107568^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-11732139225 is a prime.

It is a Duffinian number.

Its product of digits (22680) is a multiple of the sum of its prime divisors (120).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11732139225.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 141351034 + ... + 141351116.

Almost surely, 2^11732139225 is an apocalyptic number.

11732139225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11732139225 is the 108315-th square number.

11732139225 is the 54158-th centered octagonal number.

It is an amenable number.

11732139225 is a deficient number, since it is larger than the sum of its proper divisors (11049495508).

11732139225 is an frugal number, since it uses more digits than its factorization.

11732139225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 120 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

Multiplying 11732139225 by its sum of digits (36), we get a square (422357012100 = 649890²).

The spelling of 11732139225 in words is "eleven billion, seven hundred thirty-two million, one hundred thirty-nine thousand, two hundred twenty-five".