133557755760 has 960 divisors, whose sum is σ = 546511021056. Its totient is φ = 28798156800.

The previous prime is 133557755651. The next prime is 133557755783. The reversal of 133557755760 is 67557755331.

It is a happy number.

133557755760 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 577 + 5 + 5 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133557755697 and 133557755706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 429446005 + ... + 429446315.

Almost surely, 2^133557755760 is an apocalyptic number.

133557755760 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 133557755760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273255510528).

133557755760 is an abundant number, since it is smaller than the sum of its proper divisors (412953265296).

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

133557755760 is a wasteful number, since it uses less digits than its factorization.

133557755760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 11576250, while the sum is 54.

The spelling of 133557755760 in words is "one hundred thirty-three billion, five hundred fifty-seven million, seven hundred fifty-five thousand, seven hundred sixty".