136078782900480 has 4032 divisors, whose sum is σ = 612740302110720. Its totient is φ = 28260546969600.

The previous prime is 136078782900469. The next prime is 136078782900623. The reversal of 136078782900480 is 84009287870631.

136078782900480 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 78 + 7 + 82 + 9 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 284089316881 + ... + 284089317359.

It is an arithmetic number, because the mean of its divisors is an integer number (151969320960).

Almost surely, 2^{136078782900480} is an apocalyptic number.

136078782900480 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 136078782900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306370151055360).

136078782900480 is an abundant number, since it is smaller than the sum of its proper divisors (476661519210240).

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

136078782900480 is an equidigital number, since it uses as much as digits as its factorization.

136078782900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 136078782900480 in words is "one hundred thirty-six trillion, seventy-eight billion, seven hundred eighty-two million, nine hundred thousand, four hundred eighty".