134564040320960 has 112 divisors (see below), whose sum is σ = 327275194974336. Its totient is φ = 52676059717632.

The previous prime is 134564040320959. The next prime is 134564040320987. The reversal of 134564040320960 is 69023040465431.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185728364 + ... + 186451476.

It is an arithmetic number, because the mean of its divisors is an integer number (2922099955128).

Almost surely, 2^{134564040320960} is an apocalyptic number.

134564040320960 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 134564040320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163637597487168).

134564040320960 is an abundant number, since it is smaller than the sum of its proper divisors (192711154653376).

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

134564040320960 is a wasteful number, since it uses less digits than its factorization.

134564040320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735550 (or 735540 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 47.

The spelling of 134564040320960 in words is "one hundred thirty-four trillion, five hundred sixty-four billion, forty million, three hundred twenty thousand, nine hundred sixty".