133088780160 has 1280 divisors, whose sum is σ = 580567680000. Its totient is φ = 28378791936.

The previous prime is 133088780129. The next prime is 133088780203. The reversal of 133088780160 is 61087880331.

133088780160 is a `hidden beast` number, since 1 + 330 + 8 + 87 + 80 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 668787741 + ... + 668787939.

It is an arithmetic number, because the mean of its divisors is an integer number (453568500).

Almost surely, 2^133088780160 is an apocalyptic number.

133088780160 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 133088780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290283840000).

133088780160 is an abundant number, since it is smaller than the sum of its proper divisors (447478899840).

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

133088780160 is a wasteful number, since it uses less digits than its factorization.

133088780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 133088780160 in words is "one hundred thirty-three billion, eighty-eight million, seven hundred eighty thousand, one hundred sixty".