133122320 has 40 divisors (see below), whose sum is σ = 309991320. Its totient is φ = 53166080.

The previous prime is 133122317. The next prime is 133122323. The reversal of 133122320 is 23221331.

It is an interprime number because it is at equal distance from previous prime (133122317) and next prime (133122323).

It can be written as a sum of positive squares in 4 ways, for example, as 7054336 + 126067984 = 2656^2 + 11228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (133122323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93776 + ... + 95184.

It is an arithmetic number, because the mean of its divisors is an integer number (7749783).

Almost surely, 2^133122320 is an apocalyptic number.

133122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133122320 is an abundant number, since it is smaller than the sum of its proper divisors (176869000).

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

133122320 is a wasteful number, since it uses less digits than its factorization.

133122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 133122320 is about 11537.8646204573. The cubic root of 133122320 is about 510.6033101195.

Adding to 133122320 its reverse (23221331), we get a palindrome (156343651).

The spelling of 133122320 in words is "one hundred thirty-three million, one hundred twenty-two thousand, three hundred twenty".