131462243861760 has 1728 divisors, whose sum is σ = 563556050104320. Its totient is φ = 28688856514560.

The previous prime is 131462243861719. The next prime is 131462243861779. The reversal of 131462243861760 is 67168342264131.

131462243861760 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 622 + 4 + 3 + 8 + 6 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×131462243861760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 131462243861697 and 131462243861706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30997933240 + ... + 30997937480.

It is an arithmetic number, because the mean of its divisors is an integer number (326131973440).

Almost surely, 2^{131462243861760} is an apocalyptic number.

131462243861760 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 131462243861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281778025052160).

131462243861760 is an abundant number, since it is smaller than the sum of its proper divisors (432093806242560).

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

131462243861760 is an equidigital number, since it uses as much as digits as its factorization.

131462243861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 131462243861760 in words is "one hundred thirty-one trillion, four hundred sixty-two billion, two hundred forty-three million, eight hundred sixty-one thousand, seven hundred sixty".