133413966 has 80 divisors (see below), whose sum is σ = 348770400. Its totient is φ = 38118276.

The previous prime is 133413923. The next prime is 133413979. The reversal of 133413966 is 669314331.

Its product of digits (34992) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 133413966.

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, 19059135 + ... + 19059141.

It is an arithmetic number, because the mean of its divisors is an integer number (4359630).

Almost surely, 2^133413966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133413966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174385200).

133413966 is an abundant number, since it is smaller than the sum of its proper divisors (215356434).

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

133413966 is an frugal number, since it uses more digits than its factorization.

133413966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 12 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 133413966 is about 11550.4963529712. The cubic root of 133413966 is about 510.9759167983.

The spelling of 133413966 in words is "one hundred thirty-three million, four hundred thirteen thousand, nine hundred sixty-six".