133376220 has 240 divisors, whose sum is σ = 461039040. Its totient is φ = 32126976.

The previous prime is 133376189. The next prime is 133376227. The reversal of 133376220 is 22673331.

133376220 is a `hidden beast` number, since 1 + 3 + 3 + 37 + 622 + 0 = 666.

It is a super-2 number, since 2×133376220² = 35578432122976800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133376227) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 798577 + ... + 798743.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^133376220 is an apocalyptic number.

133376220 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 133376220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

133376220 is an abundant number, since it is smaller than the sum of its proper divisors (327662820).

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

133376220 is a wasteful number, since it uses less digits than its factorization.

133376220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 133376220 is about 11548.8622816276. The cubic root of 133376220 is about 510.9277231527.

The spelling of 133376220 in words is "one hundred thirty-three million, three hundred seventy-six thousand, two hundred twenty".