133214962504320 has 1024 divisors, whose sum is σ = 509595876979200. Its totient is φ = 33178343178240.

The previous prime is 133214962504291. The next prime is 133214962504321. The reversal of 133214962504320 is 23405269412331.

133214962504320 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 14 + 9 + 625 + 0 + 4 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (133214962504321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3117065992 + ... + 3117108728.

Almost surely, 2^{133214962504320} is an apocalyptic number.

133214962504320 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 133214962504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254797938489600).

133214962504320 is an abundant number, since it is smaller than the sum of its proper divisors (376380914474880).

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

133214962504320 is an equidigital number, since it uses as much as digits as its factorization.

133214962504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42925 (or 42895 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 133214962504320 in words is "one hundred thirty-three trillion, two hundred fourteen billion, nine hundred sixty-two million, five hundred four thousand, three hundred twenty".