131424305040 has 240 divisors, whose sum is σ = 507516766848. Its totient is φ = 29855361024.

The previous prime is 131424305029. The next prime is 131424305063. The reversal of 131424305040 is 40503424131.

It is a happy number.

131424305040 is a `hidden beast` number, since 1 + 3 + 142 + 430 + 50 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131424304995 and 131424305013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741532 + ... + 901508.

Almost surely, 2^131424305040 is an apocalyptic number.

131424305040 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 131424305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253758383424).

131424305040 is an abundant number, since it is smaller than the sum of its proper divisors (376092461808).

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

131424305040 is a wasteful number, since it uses less digits than its factorization.

131424305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160166 (or 160157 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 131424305040 its reverse (40503424131), we get a palindrome (171927729171).

The spelling of 131424305040 in words is "one hundred thirty-one billion, four hundred twenty-four million, three hundred five thousand, forty".