136063601424 has 135 divisors (see below), whose sum is σ = 388097456149. Its totient is φ = 44500235520.

The previous prime is 136063601393. The next prime is 136063601431. The reversal of 136063601424 is 424106360631.

The square root of 136063601424 is 368868.

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

136063601424 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 6 + 3 + 601 + 42 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39018891024 + 97044710400 = 197532^2 + 311520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 261158284 + ... + 261158804.

Almost surely, 2^136063601424 is an apocalyptic number.

136063601424 is the 368868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136063601424

136063601424 is an abundant number, since it is smaller than the sum of its proper divisors (252033854725).

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

136063601424 is an frugal number, since it uses more digits than its factorization.

136063601424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 136063601424 by its sum of digits (36), we get a square (4898289651264 = 2213208²).

136063601424 divided by its sum of digits (36) gives a square (3779544484 = 61478²).

The spelling of 136063601424 in words is "one hundred thirty-six billion, sixty-three million, six hundred one thousand, four hundred twenty-four".