134661948960 has 576 divisors, whose sum is σ = 544870416384. Its totient is φ = 27640166400.

The previous prime is 134661948959. The next prime is 134661948991. The reversal of 134661948960 is 69849166431.

It is a self number, because there is not a number n which added to its sum of digits gives 134661948960.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21470625 + ... + 21476895.

It is an arithmetic number, because the mean of its divisors is an integer number (945955584).

Almost surely, 2^134661948960 is an apocalyptic number.

134661948960 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 134661948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272435208192).

134661948960 is an abundant number, since it is smaller than the sum of its proper divisors (410208467424).

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

134661948960 is a wasteful number, since it uses less digits than its factorization.

134661948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 134661948960 in words is "one hundred thirty-four billion, six hundred sixty-one million, nine hundred forty-eight thousand, nine hundred sixty".