131271840 has 240 divisors, whose sum is σ = 529828992. Its totient is φ = 29984256.

The previous prime is 131271839. The next prime is 131271869. The reversal of 131271840 is 48172131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89997 + ... + 91443.

Almost surely, 2^131271840 is an apocalyptic number.

131271840 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 131271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264914496).

131271840 is an abundant number, since it is smaller than the sum of its proper divisors (398557152).

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

131271840 is a wasteful number, since it uses less digits than its factorization.

131271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 131271840 is about 11457.3923734853. The cubic root of 131271840 is about 508.2263649030.

The spelling of 131271840 in words is "one hundred thirty-one million, two hundred seventy-one thousand, eight hundred forty".