131563008 has 160 divisors (see below), whose sum is σ = 403307520. Its totient is φ = 42301440.

The previous prime is 131563007. The next prime is 131563037. The reversal of 131563008 is 800365131.

131563008 is a `hidden beast` number, since 13 + 15 + 630 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131563007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428391 + ... + 428697.

It is an arithmetic number, because the mean of its divisors is an integer number (2520672).

Almost surely, 2^131563008 is an apocalyptic number.

131563008 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 131563008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201653760).

131563008 is an abundant number, since it is smaller than the sum of its proper divisors (271744512).

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

131563008 is an equidigital number, since it uses as much as digits as its factorization.

131563008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131563008 is about 11470.0918915238. The cubic root of 131563008 is about 508.6018452299.

The spelling of 131563008 in words is "one hundred thirty-one million, five hundred sixty-three thousand, eight".