133273728 has 192 divisors, whose sum is σ = 458143200. Its totient is φ = 38029824.

The previous prime is 133273697. The next prime is 133273759. The reversal of 133273728 is 827372331.

It is an interprime number because it is at equal distance from previous prime (133273697) and next prime (133273759).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133273692 and 133273701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168951 + ... + 169737.

Almost surely, 2^133273728 is an apocalyptic number.

133273728 is a gapful number since it is divisible by the number (18) 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 133273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229071600).

133273728 is an abundant number, since it is smaller than the sum of its proper divisors (324869472).

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

133273728 is an equidigital number, since it uses as much as digits as its factorization.

133273728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 799 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 133273728 is about 11544.4241086336. The cubic root of 133273728 is about 510.7968167004.

The spelling of 133273728 in words is "one hundred thirty-three million, two hundred seventy-three thousand, seven hundred twenty-eight".