133480872 has 192 divisors, whose sum is σ = 454446720. Its totient is φ = 35831808.

The previous prime is 133480861. The next prime is 133480873. The reversal of 133480872 is 278084331.

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 (133480873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231048 + ... + 231624.

It is an arithmetic number, because the mean of its divisors is an integer number (2366910).

Almost surely, 2^133480872 is an apocalyptic number.

133480872 is a gapful number since it is divisible by the number (12) 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 133480872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227223360).

133480872 is an abundant number, since it is smaller than the sum of its proper divisors (320965848).

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

133480872 is a wasteful number, since it uses less digits than its factorization.

133480872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 133480872 is about 11553.3922291247. The cubic root of 133480872 is about 511.0613192551.

The spelling of 133480872 in words is "one hundred thirty-three million, four hundred eighty thousand, eight hundred seventy-two".