136078275626560 has 224 divisors, whose sum is σ = 330840822574080. Its totient is φ = 53299903641600.

The previous prime is 136078275626543. The next prime is 136078275626581. The reversal of 136078275626560 is 65626572870631.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 136078275626492 and 136078275626501.

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, 2160935875 + ... + 2160998845.

It is an arithmetic number, because the mean of its divisors is an integer number (1476967957920).

Almost surely, 2^{136078275626560} is an apocalyptic number.

136078275626560 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 136078275626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165420411287040).

136078275626560 is an abundant number, since it is smaller than the sum of its proper divisors (194762546947520).

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

136078275626560 is a wasteful number, since it uses less digits than its factorization.

136078275626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63705 (or 63695 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 64.

The spelling of 136078275626560 in words is "one hundred thirty-six trillion, seventy-eight billion, two hundred seventy-five million, six hundred twenty-six thousand, five hundred sixty".