131262300 has 162 divisors, whose sum is σ = 446033952. Its totient is φ = 32273280.

The previous prime is 131262293. The next prime is 131262367. The reversal of 131262300 is 3262131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 151669 + ... + 152531.

It is an arithmetic number, because the mean of its divisors is an integer number (2753296).

Almost surely, 2^131262300 is an apocalyptic number.

131262300 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 131262300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223016976).

131262300 is an abundant number, since it is smaller than the sum of its proper divisors (314771652).

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

131262300 is a wasteful number, since it uses less digits than its factorization.

131262300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131262300 is about 11456.9760408233. The cubic root of 131262300 is about 508.2140530546.

The spelling of 131262300 in words is "one hundred thirty-one million, two hundred sixty-two thousand, three hundred".