133497585 has 128 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 60963840.

The previous prime is 133497577. The next prime is 133497601. The reversal of 133497585 is 585794331.

It is not a de Polignac number, because 133497585 - 2³ = 133497577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (453600) is a multiple of the sum of its prime factors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 133497585.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2188455 + ... + 2188515.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^133497585 is an apocalyptic number.

133497585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133497585 is an abundant number, since it is smaller than the sum of its proper divisors (141484815).

133497585 is a wasteful number, since it uses less digits than its factorization.

133497585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 133497585 is about 11554.1155005478. The cubic root of 133497585 is about 511.0826481822.

The spelling of 133497585 in words is "one hundred thirty-three million, four hundred ninety-seven thousand, five hundred eighty-five".