131226624 has 132 divisors (see below), whose sum is σ = 392778360. Its totient is φ = 42147840.

The previous prime is 131226617. The next prime is 131226643. The reversal of 131226624 is 426622131.

131226624 is a `hidden beast` number, since 1 + 3 + 12 + 26 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267019 + ... + 267509.

Almost surely, 2^131226624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196389180).

131226624 is an abundant number, since it is smaller than the sum of its proper divisors (261551736).

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

131226624 is a wasteful number, since it uses less digits than its factorization.

131226624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 131226624 is about 11455.4189796794. The cubic root of 131226624 is about 508.1680061002.

Adding to 131226624 its reverse (426622131), we get a palindrome (557848755).

The spelling of 131226624 in words is "one hundred thirty-one million, two hundred twenty-six thousand, six hundred twenty-four".