136822635072 has 252 divisors, whose sum is σ = 405867047040. Its totient is φ = 44066737152.

The previous prime is 136822635043. The next prime is 136822635101. The reversal of 136822635072 is 270536228631.

136822635072 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 2 + 2 + 635 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (136822635043) and next prime (136822635101).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131686329 + ... + 131687367.

It is an arithmetic number, because the mean of its divisors is an integer number (1610583520).

Almost surely, 2^136822635072 is an apocalyptic number.

136822635072 is a gapful number since it is divisible by the number (12) 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 136822635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202933523520).

136822635072 is an abundant number, since it is smaller than the sum of its proper divisors (269044411968).

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

136822635072 is a wasteful number, since it uses less digits than its factorization.

136822635072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 136822635072 in words is "one hundred thirty-six billion, eight hundred twenty-two million, six hundred thirty-five thousand, seventy-two".