153316080 has 120 divisors (see below), whose sum is σ = 531573120. Its totient is φ = 39559680.

The previous prime is 153316067. The next prime is 153316109. The reversal of 153316080 is 80613351.

153316080 is a `hidden beast` number, since 1 + 53 + 3 + 1 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18886 + ... + 25754.

It is an arithmetic number, because the mean of its divisors is an integer number (4429776).

Almost surely, 2^153316080 is an apocalyptic number.

153316080 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 153316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265786560).

153316080 is an abundant number, since it is smaller than the sum of its proper divisors (378257040).

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

153316080 is a wasteful number, since it uses less digits than its factorization.

153316080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 153316080 is about 12382.0870615579. The cubic root of 153316080 is about 535.2161818859.

The spelling of 153316080 in words is "one hundred fifty-three million, three hundred sixteen thousand, eighty".