131463662800 has 120 divisors (see below), whose sum is σ = 324611223552. Its totient is φ = 51133824000.

The previous prime is 131463662791. The next prime is 131463662801. The reversal of 131463662800 is 8266364131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131463662801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5021745 + ... + 5047855.

Almost surely, 2^131463662800 is an apocalyptic number.

131463662800 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 131463662800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162305611776).

131463662800 is an abundant number, since it is smaller than the sum of its proper divisors (193147560752).

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

131463662800 is a wasteful number, since it uses less digits than its factorization.

131463662800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26477 (or 26466 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 131463662800 in words is "one hundred thirty-one billion, four hundred sixty-three million, six hundred sixty-two thousand, eight hundred".