15135035328 has 252 divisors, whose sum is σ = 52336290552. Its totient is φ = 4324078080.

The previous prime is 15135035327. The next prime is 15135035387. The reversal of 15135035328 is 82353053151.

It is a tau number, because it is divible by the number of its divisors (252).

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 = 15135035292 and 15135035301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15135035327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 752118 + ... + 771978.

Almost surely, 2^15135035328 is an apocalyptic number.

15135035328 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 15135035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26168145276).

15135035328 is an abundant number, since it is smaller than the sum of its proper divisors (37201255224).

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

15135035328 is an equidigital number, since it uses as much as digits as its factorization.

15135035328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19902 (or 19873 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 15135035328 its reverse (82353053151), we get a palindrome (97488088479).

The spelling of 15135035328 in words is "fifteen billion, one hundred thirty-five million, thirty-five thousand, three hundred twenty-eight".