131506214400 has 720 divisors, whose sum is σ = 517460259888. Its totient is φ = 31629312000.

The previous prime is 131506214311. The next prime is 131506214453. The reversal of 131506214400 is 4412605131.

It is a happy number.

131506214400 is a `hidden beast` number, since 1 + 31 + 5 + 0 + 621 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198950070 + ... + 198950730.

Almost surely, 2^131506214400 is an apocalyptic number.

131506214400 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 131506214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258730129944).

131506214400 is an abundant number, since it is smaller than the sum of its proper divisors (385954045488).

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

131506214400 is a wasteful number, since it uses less digits than its factorization.

131506214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 131506214400 its reverse (4412605131), we get a palindrome (135918819531).

The spelling of 131506214400 in words is "one hundred thirty-one billion, five hundred six million, two hundred fourteen thousand, four hundred".