136814913225 has 27 divisors (see below), whose sum is σ = 245060649223. Its totient is φ = 72964994640.

The previous prime is 136814913127. The next prime is 136814913259. The reversal of 136814913225 is 522319418631.

The square root of 136814913225 is 369885.

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

136814913225 is a `hidden beast` number, since 1 + 36 + 81 + 491 + 32 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49253368761 + 87561544464 = 221931^2 + 295908^2 .

It is not a de Polignac number, because 136814913225 - 2⁹ = 136814912713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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, 5535946 + ... + 5560604.

Almost surely, 2^136814913225 is an apocalyptic number.

136814913225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

136814913225 is the 369885-th square number.

136814913225 is the 184943-rd centered octagonal number.

It is an amenable number.

136814913225 is a deficient number, since it is larger than the sum of its proper divisors (108245735998).

136814913225 is an frugal number, since it uses more digits than its factorization.

136814913225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49334 (or 24667 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 136814913225 in words is "one hundred thirty-six billion, eight hundred fourteen million, nine hundred thirteen thousand, two hundred twenty-five".