131566440 has 128 divisors (see below), whose sum is σ = 418141440. Its totient is φ = 33048576.

The previous prime is 131566433. The next prime is 131566453. The reversal of 131566440 is 44665131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131566398 and 131566407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201154 + ... + 201806.

It is an arithmetic number, because the mean of its divisors is an integer number (3266730).

Almost surely, 2^131566440 is an apocalyptic number.

131566440 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 131566440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209070720).

131566440 is an abundant number, since it is smaller than the sum of its proper divisors (286575000).

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

131566440 is a wasteful number, since it uses less digits than its factorization.

131566440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 131566440 is about 11470.2414970218. The cubic root of 131566440 is about 508.6062677151.

The spelling of 131566440 in words is "one hundred thirty-one million, five hundred sixty-six thousand, four hundred forty".