131438560 has 192 divisors, whose sum is σ = 376233984. Its totient is φ = 42803200.

The previous prime is 131438557. The next prime is 131438603. The reversal of 131438560 is 65834131.

131438560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 688065 + ... + 688255.

It is an arithmetic number, because the mean of its divisors is an integer number (1959552).

Almost surely, 2^131438560 is an apocalyptic number.

131438560 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 131438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188116992).

131438560 is an abundant number, since it is smaller than the sum of its proper divisors (244795424).

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

131438560 is a wasteful number, since it uses less digits than its factorization.

131438560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 131438560 is about 11464.6657168886. The cubic root of 131438560 is about 508.4414291904.

The spelling of 131438560 in words is "one hundred thirty-one million, four hundred thirty-eight thousand, five hundred sixty".