131446853136 has 165 divisors, whose sum is σ = 383042175789. Its totient is φ = 43698149568.

The previous prime is 131446853117. The next prime is 131446853149. The reversal of 131446853136 is 631358644131.

The square root of 131446853136 is 362556.

It is a perfect power (a square), and thus also a powerful number.

131446853136 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 468 + 53 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71449290000 + 59997563136 = 267300^2 + 244944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131446853091 and 131446853100.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 352404246 + ... + 352404618.

Almost surely, 2^131446853136 is an apocalyptic number.

131446853136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131446853136 is the 362556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131446853136

131446853136 is an abundant number, since it is smaller than the sum of its proper divisors (251595322653).

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

131446853136 is an frugal number, since it uses more digits than its factorization.

131446853136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 378 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 131446853136 in words is "one hundred thirty-one billion, four hundred forty-six million, eight hundred fifty-three thousand, one hundred thirty-six".