133987680 has 72 divisors (see below), whose sum is σ = 457237872. Its totient is φ = 35729664.

The previous prime is 133987661. The next prime is 133987681. The reversal of 133987680 is 86789331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133987681) 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 11 ways as a sum of consecutive naturals, for example, 45084 + ... + 47963.

It is an arithmetic number, because the mean of its divisors is an integer number (6350526).

Almost surely, 2^133987680 is an apocalyptic number.

133987680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133987680 is an abundant number, since it is smaller than the sum of its proper divisors (323250192).

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

133987680 is a wasteful number, since it uses less digits than its factorization.

133987680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93068 (or 93057 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 133987680 is about 11575.3047476082. The cubic root of 133987680 is about 511.7073115556.

The spelling of 133987680 in words is "one hundred thirty-three million, nine hundred eighty-seven thousand, six hundred eighty".