131389632200 has 180 divisors, whose sum is σ = 327057467745. Its totient is φ = 49088491200.

The previous prime is 131389632197. The next prime is 131389632293. The reversal of 131389632200 is 2236983131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 128761839556 + 2627792644 = 358834^2 + 51262^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=256310.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1850558165 + ... + 1850558235.

Almost surely, 2^131389632200 is an apocalyptic number.

131389632200 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 131389632200

131389632200 is an abundant number, since it is smaller than the sum of its proper divisors (195667835545).

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

131389632200 is an frugal number, since it uses more digits than its factorization.

131389632200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 131389632200 in words is "one hundred thirty-one billion, three hundred eighty-nine million, six hundred thirty-two thousand, two hundred".