480153135 has 32 divisors (see below), whose sum is σ = 957814272. Its totient is φ = 199543680.

The previous prime is 480153127. The next prime is 480153139. The reversal of 480153135 is 531351084.

480153135 = T₄₁₅₁ + T₄₁₅₂ + ... + T₄₂₀₅.

It is not a de Polignac number, because 480153135 - 2³ = 480153127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480153139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206704 + ... + 209013.

It is an arithmetic number, because the mean of its divisors is an integer number (29931696).

Almost surely, 2^480153135 is an apocalyptic number.

480153135 is a deficient number, since it is larger than the sum of its proper divisors (477661137).

480153135 is a wasteful number, since it uses less digits than its factorization.

480153135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415743.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 480153135 is about 21912.3968337560. The cubic root of 480153135 is about 783.0567837218.

The spelling of 480153135 in words is "four hundred eighty million, one hundred fifty-three thousand, one hundred thirty-five".