133416360 has 192 divisors, whose sum is σ = 540708480. Its totient is φ = 27717120.

The previous prime is 133416359. The next prime is 133416377. The reversal of 133416360 is 63614331.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25314 + ... + 30126.

It is an arithmetic number, because the mean of its divisors is an integer number (2816190).

Almost surely, 2^133416360 is an apocalyptic number.

133416360 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 133416360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270354240).

133416360 is an abundant number, since it is smaller than the sum of its proper divisors (407292120).

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

133416360 is a wasteful number, since it uses less digits than its factorization.

133416360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 133416360 is about 11550.5999844164. The cubic root of 133416360 is about 510.9789731226.

It can be divided in two parts, 13341 and 6360, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 133416360 in words is "one hundred thirty-three million, four hundred sixteen thousand, three hundred sixty".