131587200 has 192 divisors, whose sum is σ = 481888800. Its totient is φ = 35066880.

The previous prime is 131587199. The next prime is 131587201. The reversal of 131587200 is 2785131.

It is an interprime number because it is at equal distance from previous prime (131587199) and next prime (131587201).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131587201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85639 + ... + 87161.

Almost surely, 2^131587200 is an apocalyptic number.

131587200 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 131587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240944400).

131587200 is an abundant number, since it is smaller than the sum of its proper divisors (350301600).

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

131587200 is a wasteful number, since it uses less digits than its factorization.

131587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 131587200 is about 11471.1464117585. The cubic root of 131587200 is about 508.6330174719.

The spelling of 131587200 in words is "one hundred thirty-one million, five hundred eighty-seven thousand, two hundred".