136292853602304 has 384 divisors, whose sum is σ = 465491505024000. Its totient is φ = 38596193943552.

The previous prime is 136292853602299. The next prime is 136292853602351. The reversal of 136292853602304 is 403206358292631.

136292853602304 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 9 + 28 + 5 + 3 + 602 + 3 + 0 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42181117 + ... + 45297155.

It is an arithmetic number, because the mean of its divisors is an integer number (1212217461000).

Almost surely, 2^{136292853602304} is an apocalyptic number.

136292853602304 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 136292853602304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232745752512000).

136292853602304 is an abundant number, since it is smaller than the sum of its proper divisors (329198651421696).

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

136292853602304 is a wasteful number, since it uses less digits than its factorization.

136292853602304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116190 (or 3116164 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 136292853602304 in words is "one hundred thirty-six trillion, two hundred ninety-two billion, eight hundred fifty-three million, six hundred two thousand, three hundred four".