136376581264 has 225 divisors, whose sum is σ = 341234302185. Its totient is φ = 52646267520.

The previous prime is 136376581223. The next prime is 136376581273. The reversal of 136376581264 is 462185673631.

The square root of 136376581264 is 369292.

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

It can be written as a sum of positive squares in only one way, i.e., 95053822864 + 41322758400 = 308308^2 + 203280^2 .

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 44 ways as a sum of consecutive naturals, for example, 1251161242 + ... + 1251161350.

Almost surely, 2^136376581264 is an apocalyptic number.

136376581264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

136376581264 is the 369292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136376581264

136376581264 is an abundant number, since it is smaller than the sum of its proper divisors (204857720921).

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

136376581264 is an frugal number, since it uses more digits than its factorization.

136376581264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 129 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 136376581264 in words is "one hundred thirty-six billion, three hundred seventy-six million, five hundred eighty-one thousand, two hundred sixty-four".