131525440000 has 200 divisors, whose sum is σ = 339735046860. Its totient is φ = 50792448000.

The previous prime is 131525439967. The next prime is 131525440021. The reversal of 131525440000 is 44525131.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 550934784 + 130974505216 = 23472^2 + 361904^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9272914 + ... + 9287086.

Almost surely, 2^131525440000 is an apocalyptic number.

131525440000 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 131525440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169867523430).

131525440000 is an abundant number, since it is smaller than the sum of its proper divisors (208209606860).

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

131525440000 is an frugal number, since it uses more digits than its factorization.

131525440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14240 (or 14209 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 131525440000 its reverse (44525131), we get a palindrome (131569965131).

The spelling of 131525440000 in words is "one hundred thirty-one billion, five hundred twenty-five million, four hundred forty thousand".