15135133440 has 288 divisors, whose sum is σ = 57647471616. Its totient is φ = 3308912640.

The previous prime is 15135133427. The next prime is 15135133469. The reversal of 15135133440 is 4433153151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 15135133398 and 15135133407.

It is a congruent number.

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, 606000 + ... + 630480.

It is an arithmetic number, because the mean of its divisors is an integer number (200164832).

Almost surely, 2^15135133440 is an apocalyptic number.

15135133440 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 15135133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28823735808).

15135133440 is an abundant number, since it is smaller than the sum of its proper divisors (42512338176).

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

15135133440 is a wasteful number, since it uses less digits than its factorization.

15135133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24535 (or 24521 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 15135133440 its reverse (4433153151), we get a palindrome (19568286591).

The spelling of 15135133440 in words is "fifteen billion, one hundred thirty-five million, one hundred thirty-three thousand, four hundred forty".