131705200 has 120 divisors (see below), whose sum is σ = 354954960. Its totient is φ = 46540800.

The previous prime is 131705179. The next prime is 131705201. The reversal of 131705200 is 2507131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131705201) 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, 162396 + ... + 163204.

It is an arithmetic number, because the mean of its divisors is an integer number (2957958).

Almost surely, 2^131705200 is an apocalyptic number.

131705200 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 131705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177477480).

131705200 is an abundant number, since it is smaller than the sum of its proper divisors (223249760).

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

131705200 is a wasteful number, since it uses less digits than its factorization.

131705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 131705200 is about 11476.2885986716. The cubic root of 131705200 is about 508.7850098757.

The spelling of 131705200 in words is "one hundred thirty-one million, seven hundred five thousand, two hundred".