136388266560 has 1120 divisors, whose sum is σ = 608940364032. Its totient is φ = 28207595520.

The previous prime is 136388266549. The next prime is 136388266681. The reversal of 136388266560 is 65662883631.

It is a happy number.

136388266560 is a `hidden beast` number, since 13 + 6 + 3 + 8 + 8 + 2 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×136388266560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 136388266497 and 136388266506.

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 159 ways as a sum of consecutive naturals, for example, 125011615 + ... + 125012705.

Almost surely, 2^136388266560 is an apocalyptic number.

136388266560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136388266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304470182016).

136388266560 is an abundant number, since it is smaller than the sum of its proper divisors (472552097472).

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

136388266560 is a wasteful number, since it uses less digits than its factorization.

136388266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 136388266560 in words is "one hundred thirty-six billion, three hundred eighty-eight million, two hundred sixty-six thousand, five hundred sixty".