133416960 has 192 divisors, whose sum is σ = 441080640. Its totient is φ = 34406400.

The previous prime is 133416949. The next prime is 133416961. The reversal of 133416960 is 69614331.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (133416961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320910 + ... + 1321010.

It is an arithmetic number, because the mean of its divisors is an integer number (2297295).

Almost surely, 2^133416960 is an apocalyptic number.

133416960 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 133416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220540320).

133416960 is an abundant number, since it is smaller than the sum of its proper divisors (307663680).

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

133416960 is a wasteful number, since it uses less digits than its factorization.

133416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 133416960 is about 11550.6259570640. The cubic root of 133416960 is about 510.9797391129.

It can be divided in two parts, 13341 and 6960, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 133416960 in words is "one hundred thirty-three million, four hundred sixteen thousand, nine hundred sixty".