131542315402400 has 144 divisors (see below), whose sum is σ = 370636755229440. Its totient is φ = 44653685376000.

The previous prime is 131542315402391. The next prime is 131542315402403. The reversal of 131542315402400 is 4204513245131.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (131542315402403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115720040 + ... + 116851239.

It is an arithmetic number, because the mean of its divisors is an integer number (2573866355760).

Almost surely, 2^{131542315402400} is an apocalyptic number.

131542315402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131542315402400 is an abundant number, since it is smaller than the sum of its proper divisors (239094439827040).

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

131542315402400 is a wasteful number, since it uses less digits than its factorization.

131542315402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232571407 (or 232571394 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 131542315402400 its reverse (4204513245131), we get a palindrome (135746828647531).

The spelling of 131542315402400 in words is "one hundred thirty-one trillion, five hundred forty-two billion, three hundred fifteen million, four hundred two thousand, four hundred".