133597128 has 64 divisors (see below), whose sum is σ = 389520000. Its totient is φ = 38168256.

The previous prime is 133597127. The next prime is 133597201. The reversal of 133597128 is 821795331.

It is not an unprimeable number, because it can be changed into a prime (133597127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118 + ... + 16346.

It is an arithmetic number, because the mean of its divisors is an integer number (6086250).

Almost surely, 2^133597128 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 133597128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194760000).

133597128 is an abundant number, since it is smaller than the sum of its proper divisors (255922872).

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

133597128 is a wasteful number, since it uses less digits than its factorization.

133597128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16259 (or 16241 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 133597128 is about 11558.4223836993. The cubic root of 133597128 is about 511.2096468848.

The spelling of 133597128 in words is "one hundred thirty-three million, five hundred ninety-seven thousand, one hundred twenty-eight".