133985280 has 352 divisors, whose sum is σ = 511717248. Its totient is φ = 29491200.

The previous prime is 133985263. The next prime is 133985303. The reversal of 133985280 is 82589331.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 2196450 + ... + 2196510.

Almost surely, 2^133985280 is an apocalyptic number.

133985280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255858624).

133985280 is an abundant number, since it is smaller than the sum of its proper divisors (377731968).

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

133985280 is a wasteful number, since it uses less digits than its factorization.

133985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 133985280 is about 11575.2010781671. The cubic root of 133985280 is about 511.7042562874.

The spelling of 133985280 in words is "one hundred thirty-three million, nine hundred eighty-five thousand, two hundred eighty".