131334405440 has 224 divisors, whose sum is σ = 364022201088. Its totient is φ = 44199936000.

The previous prime is 131334405427. The next prime is 131334405497. The reversal of 131334405440 is 44504433131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131334405397 and 131334405406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120379295 + ... + 120380385.

It is an arithmetic number, because the mean of its divisors is an integer number (1625099112).

Almost surely, 2^131334405440 is an apocalyptic number.

131334405440 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 131334405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182011100544).

131334405440 is an abundant number, since it is smaller than the sum of its proper divisors (232687795648).

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

131334405440 is a wasteful number, since it uses less digits than its factorization.

131334405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 131334405440 its reverse (44504433131), we get a palindrome (175838838571).

The spelling of 131334405440 in words is "one hundred thirty-one billion, three hundred thirty-four million, four hundred five thousand, four hundred forty".