131677555460 has 72 divisors (see below), whose sum is σ = 304210588248. Its totient is φ = 47841164800.

The previous prime is 131677555391. The next prime is 131677555463. The reversal of 131677555460 is 64555776131.

It can be written as a sum of positive squares in 4 ways, for example, as 56161416256 + 75516139204 = 236984^2 + 274802^2 .

It is a super-2 number, since 2×131677555460² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131677555399 and 131677555408.

It is not an unprimeable number, because it can be changed into a prime (131677555463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2834984 + ... + 2881056.

It is an arithmetic number, because the mean of its divisors is an integer number (4225147059).

Almost surely, 2^131677555460 is an apocalyptic number.

131677555460 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 131677555460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152105294124).

131677555460 is an abundant number, since it is smaller than the sum of its proper divisors (172533032788).

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

131677555460 is a wasteful number, since it uses less digits than its factorization.

131677555460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47285 (or 47272 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 50.

The spelling of 131677555460 in words is "one hundred thirty-one billion, six hundred seventy-seven million, five hundred fifty-five thousand, four hundred sixty".