136464560744064 has 512 divisors, whose sum is σ = 461200456281600. Its totient is φ = 34850104934400.

The previous prime is 136464560744059. The next prime is 136464560744089. The reversal of 136464560744064 is 460447065464631.

It is a super-2 number, since 2×136464560744064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136464560743989 and 136464560744007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79992144 + ... + 81680304.

It is an arithmetic number, because the mean of its divisors is an integer number (900782141175).

Almost surely, 2^{136464560744064} is an apocalyptic number.

136464560744064 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 136464560744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230600228140800).

136464560744064 is an abundant number, since it is smaller than the sum of its proper divisors (324735895537536).

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

136464560744064 is a wasteful number, since it uses less digits than its factorization.

136464560744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688292 (or 1688280 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 60.

The spelling of 136464560744064 in words is "one hundred thirty-six trillion, four hundred sixty-four billion, five hundred sixty million, seven hundred forty-four thousand, sixty-four".