133176960 has 320 divisors, whose sum is σ = 545022720. Its totient is φ = 30357504.

The previous prime is 133176959. The next prime is 133176971. The reversal of 133176960 is 69671331.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×133176960² = 35472205349683200, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 362697 + ... + 363063.

It is an arithmetic number, because the mean of its divisors is an integer number (1703196).

Almost surely, 2^133176960 is an apocalyptic number.

133176960 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 133176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272511360).

133176960 is an abundant number, since it is smaller than the sum of its proper divisors (411845760).

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

133176960 is an equidigital number, since it uses as much as digits as its factorization.

133176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 133176960 is about 11540.2322333652. The cubic root of 133176960 is about 510.6731595348.

The spelling of 133176960 in words is "one hundred thirty-three million, one hundred seventy-six thousand, nine hundred sixty".