133064878464 has 512 divisors, whose sum is σ = 500273280000. Its totient is φ = 33896890368.

The previous prime is 133064878459. The next prime is 133064878501. The reversal of 133064878464 is 464878460331.

133064878464 is a `hidden beast` number, since 13 + 30 + 64 + 87 + 8 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133064878464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7805502 + ... + 7822530.

It is an arithmetic number, because the mean of its divisors is an integer number (977096250).

Almost surely, 2^133064878464 is an apocalyptic number.

133064878464 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 133064878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250136640000).

133064878464 is an abundant number, since it is smaller than the sum of its proper divisors (367208401536).

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

133064878464 is a wasteful number, since it uses less digits than its factorization.

133064878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17095 (or 17077 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 133064878464 in words is "one hundred thirty-three billion, sixty-four million, eight hundred seventy-eight thousand, four hundred sixty-four".