133165760 has 224 divisors, whose sum is σ = 414771840. Its totient is φ = 39518208.

The previous prime is 133165759. The next prime is 133165787. The reversal of 133165760 is 67561331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×133165760³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494906 + ... + 495174.

It is an arithmetic number, because the mean of its divisors is an integer number (1851660).

Almost surely, 2^133165760 is an apocalyptic number.

133165760 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 133165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

133165760 is an abundant number, since it is smaller than the sum of its proper divisors (281606080).

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

133165760 is a wasteful number, since it uses less digits than its factorization.

133165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 133165760 is about 11539.7469642969. The cubic root of 133165760 is about 510.6588434956.

The spelling of 133165760 in words is "one hundred thirty-three million, one hundred sixty-five thousand, seven hundred sixty".