133032958464 has 480 divisors, whose sum is σ = 444749659200. Its totient is φ = 35115171840.

The previous prime is 133032958441. The next prime is 133032958469. The reversal of 133032958464 is 464859230331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (133032958469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58629522 + ... + 58631790.

It is an arithmetic number, because the mean of its divisors is an integer number (926561790).

Almost surely, 2^133032958464 is an apocalyptic number.

133032958464 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 133032958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222374829600).

133032958464 is an abundant number, since it is smaller than the sum of its proper divisors (311716700736).

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

133032958464 is a wasteful number, since it uses less digits than its factorization.

133032958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 133032958464 in words is "one hundred thirty-three billion, thirty-two million, nine hundred fifty-eight thousand, four hundred sixty-four".