136356308352 has 384 divisors, whose sum is σ = 465139584000. Its totient is φ = 37880524800.

The previous prime is 136356308351. The next prime is 136356308369. The reversal of 136356308352 is 253803653631.

136356308352 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 5 + 630 + 8 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 136356308298 and 136356308307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136356308351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7454674 + ... + 7472942.

It is an arithmetic number, because the mean of its divisors is an integer number (1211301000).

Almost surely, 2^136356308352 is an apocalyptic number.

136356308352 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 136356308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232569792000).

136356308352 is an abundant number, since it is smaller than the sum of its proper divisors (328783275648).

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

136356308352 is a wasteful number, since it uses less digits than its factorization.

136356308352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18350 (or 18335 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 136356308352 in words is "one hundred thirty-six billion, three hundred fifty-six million, three hundred eight thousand, three hundred fifty-two".