136064688520320 has 2048 divisors, whose sum is σ = 571163443200000. Its totient is φ = 29968290938880.

The previous prime is 136064688520307. The next prime is 136064688520337. The reversal of 136064688520320 is 23025886460631.

136064688520320 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 6 + 4 + 6 + 88 + 520 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 219813712971 + ... + 219813713589.

It is an arithmetic number, because the mean of its divisors is an integer number (278888400000).

Almost surely, 2^{136064688520320} is an apocalyptic number.

136064688520320 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 136064688520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285581721600000).

136064688520320 is an abundant number, since it is smaller than the sum of its proper divisors (435098754679680).

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

136064688520320 is a wasteful number, since it uses less digits than its factorization.

136064688520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 136064688520320 in words is "one hundred thirty-six trillion, sixty-four billion, six hundred eighty-eight million, five hundred twenty thousand, three hundred twenty".