133776160 has 96 divisors (see below), whose sum is σ = 372943872. Its totient is φ = 44375040.

The previous prime is 133776157. The next prime is 133776161. The reversal of 133776160 is 61677331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133776161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32794 + ... + 36646.

It is an arithmetic number, because the mean of its divisors is an integer number (3884832).

Almost surely, 2^133776160 is an apocalyptic number.

133776160 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 133776160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186471936).

133776160 is an abundant number, since it is smaller than the sum of its proper divisors (239167712).

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

133776160 is a wasteful number, since it uses less digits than its factorization.

133776160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 133776160 is about 11566.1644463495. The cubic root of 133776160 is about 511.4379003769.

The spelling of 133776160 in words is "one hundred thirty-three million, seven hundred seventy-six thousand, one hundred sixty".