131842368 has 168 divisors, whose sum is σ = 454883520. Its totient is φ = 35665920.

The previous prime is 131842339. The next prime is 131842397. The reversal of 131842368 is 863248131.

It is an interprime number because it is at equal distance from previous prime (131842339) and next prime (131842397).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75748 + ... + 77468.

It is an arithmetic number, because the mean of its divisors is an integer number (2707640).

Almost surely, 2^131842368 is an apocalyptic number.

131842368 is a gapful number since it is divisible by the number (18) 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 131842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227441760).

131842368 is an abundant number, since it is smaller than the sum of its proper divisors (323041152).

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

131842368 is a wasteful number, since it uses less digits than its factorization.

131842368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1752 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 131842368 is about 11482.2631915490. The cubic root of 131842368 is about 508.9615779696.

The spelling of 131842368 in words is "one hundred thirty-one million, eight hundred forty-two thousand, three hundred sixty-eight".