131438040 has 64 divisors (see below), whose sum is σ = 399893760. Its totient is φ = 34554240.

The previous prime is 131438009. The next prime is 131438071. The reversal of 131438040 is 40834131.

It is an interprime number because it is at equal distance from previous prime (131438009) and next prime (131438071).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131438040.

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, 807 + ... + 16233.

It is an arithmetic number, because the mean of its divisors is an integer number (6248340).

Almost surely, 2^131438040 is an apocalyptic number.

131438040 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 131438040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199946880).

131438040 is an abundant number, since it is smaller than the sum of its proper divisors (268455720).

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

131438040 is a wasteful number, since it uses less digits than its factorization.

131438040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15512 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 131438040 is about 11464.6430384901. The cubic root of 131438040 is about 508.4407586873.

The spelling of 131438040 in words is "one hundred thirty-one million, four hundred thirty-eight thousand, forty".