131354150250200 has 192 divisors, whose sum is σ = 337499931121920. Its totient is φ = 47334569984000.

The previous prime is 131354150250199. The next prime is 131354150250283. The reversal of 131354150250200 is 2052051453131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1501256 + ... + 16277655.

It is an arithmetic number, because the mean of its divisors is an integer number (1757812141260).

Almost surely, 2^{131354150250200} is an apocalyptic number.

131354150250200 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 131354150250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168749965560960).

131354150250200 is an abundant number, since it is smaller than the sum of its proper divisors (206145780871720).

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

131354150250200 is a wasteful number, since it uses less digits than its factorization.

131354150250200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17779038 (or 17779029 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 131354150250200 in words is "one hundred thirty-one trillion, three hundred fifty-four billion, one hundred fifty million, two hundred fifty thousand, two hundred".