131666653440 has 1296 divisors, whose sum is σ = 563359987008. Its totient is φ = 29346250752.

The previous prime is 131666653373. The next prime is 131666653453. The reversal of 131666653440 is 44356666131.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×131666653440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 807770799 + ... + 807770961.

It is an arithmetic number, because the mean of its divisors is an integer number (434691348).

Almost surely, 2^131666653440 is an apocalyptic number.

131666653440 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 131666653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281679993504).

131666653440 is an abundant number, since it is smaller than the sum of its proper divisors (431693333568).

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

131666653440 is an equidigital number, since it uses as much as digits as its factorization.

131666653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 131666653440 in words is "one hundred thirty-one billion, six hundred sixty-six million, six hundred fifty-three thousand, four hundred forty".