131462524512 has 144 divisors (see below), whose sum is σ = 408306264912. Its totient is φ = 39790863360.

The previous prime is 131462524463. The next prime is 131462524537. The reversal of 131462524512 is 215425264131.

131462524512 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 625 + 24 + 5 + 1 + 2 = 666.

131462524512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2754678 + ... + 2801994.

It is an arithmetic number, because the mean of its divisors is an integer number (2835460173).

Almost surely, 2^131462524512 is an apocalyptic number.

131462524512 is a gapful number since it is divisible by the number (12) 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 131462524512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204153132456).

131462524512 is an abundant number, since it is smaller than the sum of its proper divisors (276843740400).

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

131462524512 is a wasteful number, since it uses less digits than its factorization.

131462524512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48221 (or 48210 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 131462524512 its reverse (215425264131), we get a palindrome (346887788643).

The spelling of 131462524512 in words is "one hundred thirty-one billion, four hundred sixty-two million, five hundred twenty-four thousand, five hundred twelve".