133299120 has 80 divisors (see below), whose sum is σ = 414482400. Its totient is φ = 35438592.

The previous prime is 133299119. The next prime is 133299121. The reversal of 133299120 is 21992331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133299119) and next prime (133299121).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (133299121) 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, 107142 + ... + 108378.

It is an arithmetic number, because the mean of its divisors is an integer number (5181030).

Almost surely, 2^133299120 is an apocalyptic number.

133299120 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 133299120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207241200).

133299120 is an abundant number, since it is smaller than the sum of its proper divisors (281183280).

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

133299120 is a wasteful number, since it uses less digits than its factorization.

133299120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 133299120 is about 11545.5238079526. The cubic root of 133299120 is about 510.8292545242.

The spelling of 133299120 in words is "one hundred thirty-three million, two hundred ninety-nine thousand, one hundred twenty".