133375265280 has 640 divisors, whose sum is σ = 504867686400. Its totient is φ = 33258995712.

The previous prime is 133375265269. The next prime is 133375265311. The reversal of 133375265280 is 82562573331.

133375265280 is a `hidden beast` number, since 1 + 3 + 33 + 75 + 26 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×133375265280² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262033666 + ... + 262034174.

It is an arithmetic number, because the mean of its divisors is an integer number (788855760).

Almost surely, 2^133375265280 is an apocalyptic number.

133375265280 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 133375265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252433843200).

133375265280 is an abundant number, since it is smaller than the sum of its proper divisors (371492421120).

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

133375265280 is a wasteful number, since it uses less digits than its factorization.

133375265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 133375265280 in words is "one hundred thirty-three billion, three hundred seventy-five million, two hundred sixty-five thousand, two hundred eighty".