133832160 has 576 divisors, whose sum is σ = 611380224. Its totient is φ = 25804800.

The previous prime is 133832131. The next prime is 133832173. The reversal of 133832160 is 61238331.

It is a happy number.

133832160 is a `hidden beast` number, since 1 + 338 + 321 + 6 + 0 = 666.

It is a super-2 number, since 2×133832160² = 35822094100531200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1884925 + ... + 1884995.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 2^133832160 is an apocalyptic number.

133832160 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 133832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305690112).

133832160 is an abundant number, since it is smaller than the sum of its proper divisors (477548064).

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

133832160 is a wasteful number, since it uses less digits than its factorization.

133832160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133832160 is about 11568.5850474464. The cubic root of 133832160 is about 511.5092547123.

The spelling of 133832160 in words is "one hundred thirty-three million, eight hundred thirty-two thousand, one hundred sixty".