15434135120 has 60 divisors (see below), whose sum is σ = 36781260060. Its totient is φ = 6023024640.

The previous prime is 15434135113. The next prime is 15434135159. The reversal of 15434135120 is 2153143451.

It can be written as a sum of positive squares in 6 ways, for example, as 7980920896 + 7453214224 = 89336^2 + 86332^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77096 + ... + 191864.

It is an arithmetic number, because the mean of its divisors is an integer number (613021001).

Almost surely, 2^15434135120 is an apocalyptic number.

15434135120 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 15434135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18390630030).

15434135120 is an abundant number, since it is smaller than the sum of its proper divisors (21347124940).

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

15434135120 is a wasteful number, since it uses less digits than its factorization.

15434135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114864 (or 114817 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 15434135120 its reverse (2153143451), we get a palindrome (17587278571).

The spelling of 15434135120 in words is "fifteen billion, four hundred thirty-four million, one hundred thirty-five thousand, one hundred twenty".