133381258560 has 1344 divisors, whose sum is σ = 556149784320. Its totient is φ = 28983951360.

The previous prime is 133381258531. The next prime is 133381258561. The reversal of 133381258560 is 65852183331.

133381258560 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 8 + 1 + 2 + 585 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133381258561) 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 191 ways as a sum of consecutive naturals, for example, 1180365064 + ... + 1180365176.

Almost surely, 2^133381258560 is an apocalyptic number.

133381258560 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 133381258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278074892160).

133381258560 is an abundant number, since it is smaller than the sum of its proper divisors (422768525760).

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

133381258560 is a wasteful number, since it uses less digits than its factorization.

133381258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 133381258560 in words is "one hundred thirty-three billion, three hundred eighty-one million, two hundred fifty-eight thousand, five hundred sixty".