131663840 has 96 divisors (see below), whose sum is σ = 387846144. Its totient is φ = 41034240.

The previous prime is 131663837. The next prime is 131663867. The reversal of 131663840 is 48366131.

It is a super-3 number, since 3×131663840³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131663797 and 131663806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6977 + ... + 17663.

It is an arithmetic number, because the mean of its divisors is an integer number (4040064).

Almost surely, 2^131663840 is an apocalyptic number.

131663840 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 131663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193923072).

131663840 is an abundant number, since it is smaller than the sum of its proper divisors (256182304).

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

131663840 is a wasteful number, since it uses less digits than its factorization.

131663840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 131663840 is about 11474.4864808844. The cubic root of 131663840 is about 508.7317455876.

It can be divided in two parts, 1316 and 63840, that added together give a palindrome (65156).

The spelling of 131663840 in words is "one hundred thirty-one million, six hundred sixty-three thousand, eight hundred forty".