480132135 has 36 divisors (see below), whose sum is σ = 968107608. Its totient is φ = 219487968.

The previous prime is 480132089. The next prime is 480132151. The reversal of 480132135 is 531231084.

It is a happy number.

It is not a de Polignac number, because 480132135 - 2⁹ = 480131623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 480132099 and 480132108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106669 + ... + 111078.

It is an arithmetic number, because the mean of its divisors is an integer number (26891878).

Almost surely, 2^480132135 is an apocalyptic number.

480132135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

480132135 is an abundant number, since it is smaller than the sum of its proper divisors (487975473).

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

480132135 is a wasteful number, since it uses less digits than its factorization.

480132135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217772 (or 217762 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 480132135 is about 21911.9176477094. The cubic root of 480132135 is about 783.0453676194.

The spelling of 480132135 in words is "four hundred eighty million, one hundred thirty-two thousand, one hundred thirty-five".