136824838756225 has 27 divisors (see below), whose sum is σ = 170804860431849. Its totient is φ = 108727952868000.

The previous prime is 136824838756169. The next prime is 136824838756241. The reversal of 136824838756225 is 522657838428631.

The square root of 136824838756225 is 11697215.

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 58270368051009 + 78554470705216 = 7633503^2 + 8863096^2 .

It is not a de Polignac number, because 136824838756225 - 2⁴⁵ = 101640466667393 is a prime.

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, 8831389579 + ... + 8831405071.

Almost surely, 2^{136824838756225} is an apocalyptic number.

136824838756225 is the 11697215-th square number.

136824838756225 is the 5848608-th centered octagonal number.

It is an amenable number.

136824838756225 is a deficient number, since it is larger than the sum of its proper divisors (33980021675624).

136824838756225 is an frugal number, since it uses more digits than its factorization.

136824838756225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31298 (or 15649 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 70.

The spelling of 136824838756225 in words is "one hundred thirty-six trillion, eight hundred twenty-four billion, eight hundred thirty-eight million, seven hundred fifty-six thousand, two hundred twenty-five".