131124422688 has 96 divisors (see below), whose sum is σ = 410476502016. Its totient is φ = 35835241728.

The previous prime is 131124422677. The next prime is 131124422707. The reversal of 131124422688 is 886224421131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×131124422688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4226406 + ... + 4257317.

It is an arithmetic number, because the mean of its divisors is an integer number (4275796896).

Almost surely, 2^131124422688 is an apocalyptic number.

It is an amenable number.

131124422688 is an abundant number, since it is smaller than the sum of its proper divisors (279352079328).

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

131124422688 is a wasteful number, since it uses less digits than its factorization.

131124422688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483766 (or 8483758 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 131124422688 in words is "one hundred thirty-one billion, one hundred twenty-four million, four hundred twenty-two thousand, six hundred eighty-eight".