133928592 has 80 divisors (see below), whose sum is σ = 397593600. Its totient is φ = 38054016.

The previous prime is 133928581. The next prime is 133928593. The reversal of 133928592 is 295829331.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (133928593) 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, 65863 + ... + 67865.

It is an arithmetic number, because the mean of its divisors is an integer number (4969920).

Almost surely, 2^133928592 is an apocalyptic number.

133928592 is a gapful number since it is divisible by the number (12) 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 133928592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198796800).

133928592 is an abundant number, since it is smaller than the sum of its proper divisors (263665008).

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

133928592 is a wasteful number, since it uses less digits than its factorization.

133928592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2214 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 133928592 is about 11572.7521359442. The cubic root of 133928592 is about 511.6320802425.

The spelling of 133928592 in words is "one hundred thirty-three million, nine hundred twenty-eight thousand, five hundred ninety-two".