133468487778960 has 480 divisors, whose sum is σ = 480183071816448. Its totient is φ = 33146789744640.

The previous prime is 133468487778959. The next prime is 133468487778973. The reversal of 133468487778960 is 69877784864331.

133468487778960 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 6 + 8 + 487 + 7 + 78 + 9 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133468487778960.

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, 114395662 + ... + 115556498.

Almost surely, 2^{133468487778960} is an apocalyptic number.

133468487778960 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 133468487778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240091535908224).

133468487778960 is an abundant number, since it is smaller than the sum of its proper divisors (346714584037488).

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

133468487778960 is a wasteful number, since it uses less digits than its factorization.

133468487778960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161063 (or 1161054 counting only the distinct ones).

The product of its (nonzero) digits is 8193540096, while the sum is 81.

The spelling of 133468487778960 in words is "one hundred thirty-three trillion, four hundred sixty-eight billion, four hundred eighty-seven million, seven hundred seventy-eight thousand, nine hundred sixty".