133386880 has 64 divisors (see below), whose sum is σ = 347885280. Its totient is φ = 48501760.

The previous prime is 133386871. The next prime is 133386901. The reversal of 133386880 is 88683331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×133386880² = 35584119512268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2434 + ... + 16513.

Almost surely, 2^133386880 is an apocalyptic number.

133386880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133386880 is an abundant number, since it is smaller than the sum of its proper divisors (214498400).

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

133386880 is a wasteful number, since it uses less digits than its factorization.

133386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18977 (or 18965 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 133386880 is about 11549.3237897290. The cubic root of 133386880 is about 510.9413346357.

The spelling of 133386880 in words is "one hundred thirty-three million, three hundred eighty-six thousand, eight hundred eighty".