133586820 has 72 divisors (see below), whose sum is σ = 420236544. Its totient is φ = 35621856.

The previous prime is 133586809. The next prime is 133586821. The reversal of 133586820 is 28685331.

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

It is not an unprimeable number, because it can be changed into a prime (133586821) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8884 + ... + 18603.

Almost surely, 2^133586820 is an apocalyptic number.

133586820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133586820 is an abundant number, since it is smaller than the sum of its proper divisors (286649724).

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

133586820 is a wasteful number, since it uses less digits than its factorization.

133586820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27511 (or 27497 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 133586820 is about 11557.9764664927. The cubic root of 133586820 is about 511.1964986866.

The spelling of 133586820 in words is "one hundred thirty-three million, five hundred eighty-six thousand, eight hundred twenty".