131342745600 has 1080 divisors, whose sum is σ = 532429672320. Its totient is φ = 30670848000.

The previous prime is 131342745571. The next prime is 131342745607. The reversal of 131342745600 is 6547243131.

131342745600 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 2 + 7 + 45 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131342745607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1662566361 + ... + 1662566439.

Almost surely, 2^131342745600 is an apocalyptic number.

131342745600 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 131342745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266214836160).

131342745600 is an abundant number, since it is smaller than the sum of its proper divisors (401086926720).

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

131342745600 is a wasteful number, since it uses less digits than its factorization.

131342745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 131342745600 its reverse (6547243131), we get a palindrome (137889988731).

The spelling of 131342745600 in words is "one hundred thirty-one billion, three hundred forty-two million, seven hundred forty-five thousand, six hundred".