131052125440 has 72 divisors (see below), whose sum is σ = 314801145288. Its totient is φ = 52272168960.

The previous prime is 131052125417. The next prime is 131052125447. The reversal of 131052125440 is 44521250131.

It can be written as a sum of positive squares in 4 ways, for example, as 783104256 + 130269021184 = 27984^2 + 360928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131052125399 and 131052125408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131052125447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306820 + ... + 596860.

It is an arithmetic number, because the mean of its divisors is an integer number (4372238129).

Almost surely, 2^131052125440 is an apocalyptic number.

131052125440 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 131052125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157400572644).

131052125440 is an abundant number, since it is smaller than the sum of its proper divisors (183749019848).

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

131052125440 is an equidigital number, since it uses as much as digits as its factorization.

131052125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290415 (or 290401 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 131052125440 its reverse (44521250131), we get a palindrome (175573375571).

The spelling of 131052125440 in words is "one hundred thirty-one billion, fifty-two million, one hundred twenty-five thousand, four hundred forty".