133092480 has 128 divisors (see below), whose sum is σ = 428987520. Its totient is φ = 35094528.

The previous prime is 133092451. The next prime is 133092481. The reversal of 133092480 is 84290331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133092481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197424 + ... + 198096.

It is an arithmetic number, because the mean of its divisors is an integer number (3351465).

Almost surely, 2^133092480 is an apocalyptic number.

133092480 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 133092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214493760).

133092480 is an abundant number, since it is smaller than the sum of its proper divisors (295895040).

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

133092480 is a wasteful number, since it uses less digits than its factorization.

133092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 133092480 is about 11536.5714144195. The cubic root of 133092480 is about 510.5651558832.

The spelling of 133092480 in words is "one hundred thirty-three million, ninety-two thousand, four hundred eighty".