131007240 has 512 divisors, whose sum is σ = 567705600. Its totient is φ = 26127360.

The previous prime is 131007229. The next prime is 131007277. The reversal of 131007240 is 42700131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3046659 + ... + 3046701.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 2^131007240 is an apocalyptic number.

131007240 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 131007240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283852800).

131007240 is an abundant number, since it is smaller than the sum of its proper divisors (436698360).

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

131007240 is a wasteful number, since it uses less digits than its factorization.

131007240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 131007240 is about 11445.8394187582. The cubic root of 131007240 is about 507.8846639188.

Adding to 131007240 its reverse (42700131), we get a palindrome (173707371).

The spelling of 131007240 in words is "one hundred thirty-one million, seven thousand, two hundred forty".