136221314544 has 400 divisors, whose sum is σ = 464558409216. Its totient is φ = 37732262400.

The previous prime is 136221314539. The next prime is 136221314563. The reversal of 136221314544 is 445413122631.

136221314544 is a `hidden beast` number, since 1 + 3 + 62 + 21 + 31 + 4 + 544 = 666.

136221314544 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 136221314499 and 136221314508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39289099 + ... + 39292565.

Almost surely, 2^136221314544 is an apocalyptic number.

136221314544 is a gapful number since it is divisible by the number (14) 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 136221314544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232279204608).

136221314544 is an abundant number, since it is smaller than the sum of its proper divisors (328337094672).

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

136221314544 is a wasteful number, since it uses less digits than its factorization.

136221314544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3611 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 136221314544 in words is "one hundred thirty-six billion, two hundred twenty-one million, three hundred fourteen thousand, five hundred forty-four".