136414416651264 has 132 divisors (see below), whose sum is σ = 395955943319040. Its totient is φ = 45233401098240.

The previous prime is 136414416651199. The next prime is 136414416651269. The reversal of 136414416651264 is 462156614414631.

136414416651264 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 1 + 4 + 4 + 1 + 66 + 512 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 136414416651264.

It is not an unprimeable number, because it can be changed into a prime (136414416651269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36988204 + ... + 40508715.

Almost surely, 2^{136414416651264} is an apocalyptic number.

It is an amenable number.

136414416651264 is an abundant number, since it is smaller than the sum of its proper divisors (259541526667776).

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

136414416651264 is a wasteful number, since it uses less digits than its factorization.

136414416651264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77497136 (or 77497115 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 136414416651264 in words is "one hundred thirty-six trillion, four hundred fourteen billion, four hundred sixteen million, six hundred fifty-one thousand, two hundred sixty-four".