30135634540 has 96 divisors (see below), whose sum is σ = 72201507840. Its totient is φ = 10458412800.

The previous prime is 30135634493. The next prime is 30135634567. The reversal of 30135634540 is 4543653103.

It is a junction number, because it is equal to n+sod(n) for n = 30135634496 and 30135634505.

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, 2326201 + ... + 2339119.

It is an arithmetic number, because the mean of its divisors is an integer number (752099040).

Almost surely, 2^30135634540 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 30135634540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36100753920).

30135634540 is an abundant number, since it is smaller than the sum of its proper divisors (42065873300).

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

30135634540 is a wasteful number, since it uses less digits than its factorization.

30135634540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13423 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

It can be divided in two parts, 3013563 and 4540, that added together give a palindrome (3018103).

The spelling of 30135634540 in words is "thirty billion, one hundred thirty-five million, six hundred thirty-four thousand, five hundred forty".