131277456 has 80 divisors (see below), whose sum is σ = 378745600. Its totient is φ = 43535232.

The previous prime is 131277431. The next prime is 131277457. The reversal of 131277456 is 654772131.

It is a happy number.

131277456 is a `hidden beast` number, since 131 + 2 + 77 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131277456.

It is not an unprimeable number, because it can be changed into a prime (131277457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98265 + ... + 99591.

It is an arithmetic number, because the mean of its divisors is an integer number (4734320).

Almost surely, 2^131277456 is an apocalyptic number.

131277456 is a gapful number since it is divisible by the number (16) 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 131277456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189372800).

131277456 is an abundant number, since it is smaller than the sum of its proper divisors (247468144).

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

131277456 is a wasteful number, since it uses less digits than its factorization.

131277456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1561 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 131277456 is about 11457.6374528085. The cubic root of 131277456 is about 508.2336123537.

The spelling of 131277456 in words is "one hundred thirty-one million, two hundred seventy-seven thousand, four hundred fifty-six".