131438580 has 288 divisors, whose sum is σ = 487992960. Its totient is φ = 26127360.

The previous prime is 131438557. The next prime is 131438603. The reversal of 131438580 is 85834131.

131438580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131438557) and next prime (131438603).

It is a super-2 number, since 2×131438580² = 34552200624832800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 726090 + ... + 726270.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^131438580 is an apocalyptic number.

131438580 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 131438580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243996480).

131438580 is an abundant number, since it is smaller than the sum of its proper divisors (356554380).

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

131438580 is a wasteful number, since it uses less digits than its factorization.

131438580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 131438580 is about 11464.6665891338. Note that the first 3 decimals coincide. The cubic root of 131438580 is about 508.4414549789.

The spelling of 131438580 in words is "one hundred thirty-one million, four hundred thirty-eight thousand, five hundred eighty".