131425277760 has 448 divisors, whose sum is σ = 533286858240. Its totient is φ = 29846568960.

The previous prime is 131425277749. The next prime is 131425277827. The reversal of 131425277760 is 67772524131.

131425277760 is a `hidden beast` number, since 1 + 314 + 2 + 5 + 277 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 9488440 + ... + 9502280.

Almost surely, 2^131425277760 is an apocalyptic number.

131425277760 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 131425277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266643429120).

131425277760 is an abundant number, since it is smaller than the sum of its proper divisors (401861580480).

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

131425277760 is a wasteful number, since it uses less digits than its factorization.

131425277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14031 (or 14015 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 131425277760 in words is "one hundred thirty-one billion, four hundred twenty-five million, two hundred seventy-seven thousand, seven hundred sixty".