133272720 has 240 divisors, whose sum is σ = 528632832. Its totient is φ = 29445120.

The previous prime is 133272709. The next prime is 133272743. The reversal of 133272720 is 27272331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155814 + ... + 156666.

Almost surely, 2^133272720 is an apocalyptic number.

133272720 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 133272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264316416).

133272720 is an abundant number, since it is smaller than the sum of its proper divisors (395360112).

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

133272720 is a wasteful number, since it uses less digits than its factorization.

133272720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 133272720 is about 11544.3804511113. The cubic root of 133272720 is about 510.7955289135.

The spelling of 133272720 in words is "one hundred thirty-three million, two hundred seventy-two thousand, seven hundred twenty".