131434221464 has 256 divisors, whose sum is σ = 336259123200. Its totient is φ = 46649991168.

The previous prime is 131434221427. The next prime is 131434221547. The reversal of 131434221464 is 464122434131.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 110727479 + ... + 110728665.

It is an arithmetic number, because the mean of its divisors is an integer number (1313512200).

Almost surely, 2^131434221464 is an apocalyptic number.

131434221464 is a gapful number since it is divisible by the number (14) 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 131434221464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168129561600).

131434221464 is an abundant number, since it is smaller than the sum of its proper divisors (204824901736).

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

131434221464 is a wasteful number, since it uses less digits than its factorization.

131434221464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1638 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

Adding to 131434221464 its reverse (464122434131), we get a palindrome (595556655595).

The spelling of 131434221464 in words is "one hundred thirty-one billion, four hundred thirty-four million, two hundred twenty-one thousand, four hundred sixty-four".