133534480 has 80 divisors (see below), whose sum is σ = 321876720. Its totient is φ = 51480576.

The previous prime is 133534477. The next prime is 133534501. The reversal of 133534480 is 84435331.

133534480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 60466176 + 73068304 = 7776^2 + 8548^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583006 + ... + 583234.

It is an arithmetic number, because the mean of its divisors is an integer number (4023459).

Almost surely, 2^133534480 is an apocalyptic number.

133534480 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 133534480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160938360).

133534480 is an abundant number, since it is smaller than the sum of its proper divisors (188342240).

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

133534480 is a wasteful number, since it uses less digits than its factorization.

133534480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 133534480 is about 11555.7120074879. The cubic root of 133534480 is about 511.1297268302.

The spelling of 133534480 in words is "one hundred thirty-three million, five hundred thirty-four thousand, four hundred eighty".