133653220 has 48 divisors (see below), whose sum is σ = 296452800. Its totient is φ = 50474880.

The previous prime is 133653211. The next prime is 133653229. The reversal of 133653220 is 22356331.

It is a happy number.

133653220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133653211) and next prime (133653229).

It is not an unprimeable number, because it can be changed into a prime (133653229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193075 + ... + 193765.

It is an arithmetic number, because the mean of its divisors is an integer number (6176100).

Almost surely, 2^133653220 is an apocalyptic number.

133653220 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 133653220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148226400).

133653220 is an abundant number, since it is smaller than the sum of its proper divisors (162799580).

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

133653220 is a wasteful number, since it uses less digits than its factorization.

133653220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 133653220 is about 11560.8485847709. The cubic root of 133653220 is about 511.2811822533.

The spelling of 133653220 in words is "one hundred thirty-three million, six hundred fifty-three thousand, two hundred twenty".