131360667840 has 1008 divisors, whose sum is σ = 512920792800. Its totient is φ = 31926140928.

The previous prime is 131360667811. The next prime is 131360667857. The reversal of 131360667840 is 48766063131.

131360667840 is a `hidden beast` number, since 1 + 31 + 3 + 606 + 6 + 7 + 8 + 4 + 0 = 666.

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

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, 1475962516 + ... + 1475962604.

Almost surely, 2^131360667840 is an apocalyptic number.

131360667840 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 131360667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256460396400).

131360667840 is an abundant number, since it is smaller than the sum of its proper divisors (381560124960).

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

131360667840 is an frugal number, since it uses more digits than its factorization.

131360667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 131360667840 in words is "one hundred thirty-one billion, three hundred sixty million, six hundred sixty-seven thousand, eight hundred forty".