133157882880000 has 4200 divisors, whose sum is σ = 581767731315144. Its totient is φ = 30081024000000.

The previous prime is 133157882879999. The next prime is 133157882880013. The reversal of 133157882880000 is 88288751331.

133157882880000 is a `hidden beast` number, since 13 + 31 + 578 + 8 + 28 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 1318394879950 + ... + 1318394880050.

Almost surely, 2^{133157882880000} is an apocalyptic number.

133157882880000 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 133157882880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290883865657572).

133157882880000 is an abundant number, since it is smaller than the sum of its proper divisors (448609848435144).

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

133157882880000 is an equidigital number, since it uses as much as digits as its factorization.

133157882880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 133157882880000 in words is "one hundred thirty-three trillion, one hundred fifty-seven billion, eight hundred eighty-two million, eight hundred eighty thousand".