133007486976 has 624 divisors, whose sum is σ = 488492892160. Its totient is φ = 33920778240.

The previous prime is 133007486971. The next prime is 133007486987. The reversal of 133007486976 is 679684700331.

It is a tau number, because it is divible by the number of its divisors (624).

It is not an unprimeable number, because it can be changed into a prime (133007486971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 103992705 + ... + 103993983.

Almost surely, 2^133007486976 is an apocalyptic number.

133007486976 is a gapful number since it is divisible by the number (16) 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 133007486976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244246446080).

133007486976 is an abundant number, since it is smaller than the sum of its proper divisors (355485405184).

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

133007486976 is a wasteful number, since it uses less digits than its factorization.

133007486976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 133007486976 in words is "one hundred thirty-three billion, seven million, four hundred eighty-six thousand, nine hundred seventy-six".