12135525948 has 672 divisors, whose sum is σ = 43188364800. Its totient is φ = 2892298752.

The previous prime is 12135525947. The next prime is 12135526001. The reversal of 12135525948 is 84952553121.

12135525948 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 5 + 52 + 594 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135525947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 146211115 + ... + 146211197.

It is an arithmetic number, because the mean of its divisors is an integer number (64268400).

Almost surely, 2^12135525948 is an apocalyptic number.

12135525948 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 12135525948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21594182400).

12135525948 is an abundant number, since it is smaller than the sum of its proper divisors (31052838852).

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

12135525948 is a wasteful number, since it uses less digits than its factorization.

12135525948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 12135525948 in words is "twelve billion, one hundred thirty-five million, five hundred twenty-five thousand, nine hundred forty-eight".