133585740 has 48 divisors (see below), whose sum is σ = 415601760. Its totient is φ = 35622720.

The previous prime is 133585733. The next prime is 133585757. The reversal of 133585740 is 47585331.

133585740 is a `hidden beast` number, since 1 + 3 + 3 + 585 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133585695 and 133585704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123151 + ... + 124230.

It is an arithmetic number, because the mean of its divisors is an integer number (8658370).

Almost surely, 2^133585740 is an apocalyptic number.

133585740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133585740 is an abundant number, since it is smaller than the sum of its proper divisors (282016020).

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

133585740 is a wasteful number, since it uses less digits than its factorization.

133585740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247399 (or 247391 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 133585740 is about 11557.9297454172. The cubic root of 133585740 is about 511.1951210714.

The spelling of 133585740 in words is "one hundred thirty-three million, five hundred eighty-five thousand, seven hundred forty".