133857360 has 400 divisors, whose sum is σ = 574713216. Its totient is φ = 28118016.

The previous prime is 133857319. The next prime is 133857377. The reversal of 133857360 is 63758331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589567 + ... + 589793.

Almost surely, 2^133857360 is an apocalyptic number.

133857360 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 133857360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287356608).

133857360 is an abundant number, since it is smaller than the sum of its proper divisors (440855856).

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

133857360 is a wasteful number, since it uses less digits than its factorization.

133857360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 133857360 is about 11569.6741527149. The cubic root of 133857360 is about 511.5413576693.

The spelling of 133857360 in words is "one hundred thirty-three million, eight hundred fifty-seven thousand, three hundred sixty".