131801040 has 320 divisors, whose sum is σ = 542822400. Its totient is φ = 28740096.

The previous prime is 131801023. The next prime is 131801041. The reversal of 131801040 is 40108131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131801041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 347571 + ... + 347949.

It is an arithmetic number, because the mean of its divisors is an integer number (1696320).

Almost surely, 2^131801040 is an apocalyptic number.

131801040 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 131801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271411200).

131801040 is an abundant number, since it is smaller than the sum of its proper divisors (411021360).

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

131801040 is a wasteful number, since it uses less digits than its factorization.

131801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 131801040 is about 11480.4634052812. The cubic root of 131801040 is about 508.9083918235.

Adding to 131801040 its reverse (40108131), we get a palindrome (171909171).

The spelling of 131801040 in words is "one hundred thirty-one million, eight hundred one thousand, forty".