136452919680 has 768 divisors, whose sum is σ = 607149043200. Its totient is φ = 28350812160.

The previous prime is 136452919679. The next prime is 136452919703. The reversal of 136452919680 is 86919254631.

136452919680 is a `hidden beast` number, since 1 + 36 + 4 + 529 + 1 + 9 + 6 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14631499 + ... + 14640821.

It is an arithmetic number, because the mean of its divisors is an integer number (790558650).

Almost surely, 2^136452919680 is an apocalyptic number.

136452919680 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 136452919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303574521600).

136452919680 is an abundant number, since it is smaller than the sum of its proper divisors (470696123520).

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

136452919680 is a wasteful number, since it uses less digits than its factorization.

136452919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 136452919680 in words is "one hundred thirty-six billion, four hundred fifty-two million, nine hundred nineteen thousand, six hundred eighty".