133998585 has 48 divisors (see below), whose sum is σ = 257490432. Its totient is φ = 59270400.

The previous prime is 133998577. The next prime is 133998637. The reversal of 133998585 is 585899331.

It is not a de Polignac number, because 133998585 - 2³ = 133998577 is a prime.

It is a super-3 number, since 3×133998585³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19845 + ... + 25725.

It is an arithmetic number, because the mean of its divisors is an integer number (5364384).

Almost surely, 2^133998585 is an apocalyptic number.

133998585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133998585 is a deficient number, since it is larger than the sum of its proper divisors (123491847).

133998585 is a wasteful number, since it uses less digits than its factorization.

133998585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 5927 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 51.

The square root of 133998585 is about 11575.7757839378. The cubic root of 133998585 is about 511.7211934708.

The spelling of 133998585 in words is "one hundred thirty-three million, nine hundred ninety-eight thousand, five hundred eighty-five".