133795480 has 192 divisors, whose sum is σ = 387828000. Its totient is φ = 41158656.

The previous prime is 133795477. The next prime is 133795481. The reversal of 133795480 is 84597331.

133795480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133795481) 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, 1503276 + ... + 1503364.

Almost surely, 2^133795480 is an apocalyptic number.

133795480 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 133795480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193914000).

133795480 is an abundant number, since it is smaller than the sum of its proper divisors (254032520).

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

133795480 is a wasteful number, since it uses less digits than its factorization.

133795480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 133795480 is about 11566.9996109622. Note that the first 3 decimals coincide. The cubic root of 133795480 is about 511.4625198721.

The spelling of 133795480 in words is "one hundred thirty-three million, seven hundred ninety-five thousand, four hundred eighty".