131142810240 has 480 divisors, whose sum is σ = 507165486300. Its totient is φ = 32279150592.

The previous prime is 131142810229. The next prime is 131142810241. The reversal of 131142810240 is 42018241131.

131142810240 is a `hidden beast` number, since 131 + 1 + 428 + 102 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 347747904 + 130795062336 = 18648^2 + 361656^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (131142810241) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8753476 + ... + 8768444.

Almost surely, 2^131142810240 is an apocalyptic number.

131142810240 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 131142810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253582743150).

131142810240 is an abundant number, since it is smaller than the sum of its proper divisors (376022676060).

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

131142810240 is a wasteful number, since it uses less digits than its factorization.

131142810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15026 (or 14992 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 131142810240 in words is "one hundred thirty-one billion, one hundred forty-two million, eight hundred ten thousand, two hundred forty".