133530628 has 48 divisors (see below), whose sum is σ = 293529600. Its totient is φ = 51634080.

The previous prime is 133530611. The next prime is 133530641. The reversal of 133530628 is 826035331.

It is a super-2 number, since 2×133530628² = 35660857228148768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133530628.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41253 + ... + 44371.

It is an arithmetic number, because the mean of its divisors is an integer number (6115200).

Almost surely, 2^133530628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133530628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).

133530628 is an abundant number, since it is smaller than the sum of its proper divisors (159998972).

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

133530628 is a wasteful number, since it uses less digits than its factorization.

133530628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 133530628 is about 11555.5453354656. The cubic root of 133530628 is about 511.1248120181.

Adding to 133530628 its reverse (826035331), we get a palindrome (959565959).

It can be divided in two parts, 13 and 3530628, that added together give a square (3530641 = 1879²).

The spelling of 133530628 in words is "one hundred thirty-three million, five hundred thirty thousand, six hundred twenty-eight".