15332135328 has 192 divisors, whose sum is σ = 45784569600. Its totient is φ = 4990325760.

The previous prime is 15332135327. The next prime is 15332135333. The reversal of 15332135328 is 82353123351.

15332135328 is a `hidden beast` number, since 1 + 5 + 3 + 321 + 3 + 5 + 328 = 666.

15332135328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 123823²-1.

It is a super-2 number, since 2×15332135328² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 15332135292 and 15332135301.

It is not an unprimeable number, because it can be changed into a prime (15332135327) 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, 6685350 + ... + 6687642.

It is an arithmetic number, because the mean of its divisors is an integer number (238461300).

Almost surely, 2^15332135328 is an apocalyptic number.

15332135328 is a gapful number since it is divisible by the number (18) 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 15332135328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22892284800).

15332135328 is an abundant number, since it is smaller than the sum of its proper divisors (30452434272).

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

15332135328 is a wasteful number, since it uses less digits than its factorization.

15332135328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2478 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 15332135328 its reverse (82353123351), we get a palindrome (97685258679).

The spelling of 15332135328 in words is "fifteen billion, three hundred thirty-two million, one hundred thirty-five thousand, three hundred twenty-eight".