153319680 has 108 divisors (see below), whose sum is σ = 530509980. Its totient is φ = 40882176.

The previous prime is 153319669. The next prime is 153319681. The reversal of 153319680 is 86913351.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 133818624 = 4416^2 + 11568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (153319681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4866 + ... + 18174.

Almost surely, 2^153319680 is an apocalyptic number.

153319680 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 153319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265254990).

153319680 is an abundant number, since it is smaller than the sum of its proper divisors (377190300).

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

153319680 is a wasteful number, since it uses less digits than its factorization.

153319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13336 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 153319680 is about 12382.2324319971. The cubic root of 153319680 is about 535.2203709728.

The spelling of 153319680 in words is "one hundred fifty-three million, three hundred nineteen thousand, six hundred eighty".