133607880 has 320 divisors, whose sum is σ = 528992640. Its totient is φ = 29611008.

The previous prime is 133607863. The next prime is 133607891. The reversal of 133607880 is 88706331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 975172 + ... + 975308.

It is an arithmetic number, because the mean of its divisors is an integer number (1653102).

Almost surely, 2^133607880 is an apocalyptic number.

133607880 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 133607880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264496320).

133607880 is an abundant number, since it is smaller than the sum of its proper divisors (395384760).

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

133607880 is a wasteful number, since it uses less digits than its factorization.

133607880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 133607880 is about 11558.8874897198. The cubic root of 133607880 is about 511.2233606993.

The spelling of 133607880 in words is "one hundred thirty-three million, six hundred seven thousand, eight hundred eighty".