131345425402400 has 576 divisors, whose sum is σ = 366231019714560. Its totient is φ = 45573240115200.

The previous prime is 131345425402319. The next prime is 131345425402441. The reversal of 131345425402400 is 4204524543131.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9906126971 + ... + 9906140229.

It is an arithmetic number, because the mean of its divisors is an integer number (635817742560).

Almost surely, 2^{131345425402400} is an apocalyptic number.

131345425402400 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 131345425402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183115509857280).

131345425402400 is an abundant number, since it is smaller than the sum of its proper divisors (234885594312160).

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

131345425402400 is a wasteful number, since it uses less digits than its factorization.

131345425402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13937 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 131345425402400 its reverse (4204524543131), we get a palindrome (135549949945531).

The spelling of 131345425402400 in words is "one hundred thirty-one trillion, three hundred forty-five billion, four hundred twenty-five million, four hundred two thousand, four hundred".