9135461253120 has 240 divisors, whose sum is σ = 30240627600960. Its totient is φ = 2352116924416.

The previous prime is 9135461253089. The next prime is 9135461253203. The reversal of 9135461253120 is 213521645319.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6486139 + ... + 7767941.

It is an arithmetic number, because the mean of its divisors is an integer number (126002615004).

Almost surely, 2^{9135461253120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9135461253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120313800480).

9135461253120 is an abundant number, since it is smaller than the sum of its proper divisors (21105166347840).

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

9135461253120 is a wasteful number, since it uses less digits than its factorization.

9135461253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281868 (or 1281842 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

Adding to 9135461253120 its reverse (213521645319), we get a palindrome (9348982898439).

The spelling of 9135461253120 in words is "nine trillion, one hundred thirty-five billion, four hundred sixty-one million, two hundred fifty-three thousand, one hundred twenty".