15153332240 has 160 divisors (see below), whose sum is σ = 37029817440. Its totient is φ = 5761400832.

The previous prime is 15153332221. The next prime is 15153332261. The reversal of 15153332240 is 4223335151.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1977047296 + 13176284944 = 44464^2 + 114788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25553384 + ... + 25553976.

It is an arithmetic number, because the mean of its divisors is an integer number (231436359).

Almost surely, 2^15153332240 is an apocalyptic number.

15153332240 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 15153332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514908720).

15153332240 is an abundant number, since it is smaller than the sum of its proper divisors (21876485200).

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

15153332240 is a wasteful number, since it uses less digits than its factorization.

15153332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 15153332240 its reverse (4223335151), we get a palindrome (19376667391).

The spelling of 15153332240 in words is "fifteen billion, one hundred fifty-three million, three hundred thirty-two thousand, two hundred forty".