131828251456 has 224 divisors, whose sum is σ = 307308625920. Its totient is φ = 55477094400.

The previous prime is 131828251441. The next prime is 131828251469. The reversal of 131828251456 is 654152828131.

It is a super-2 number, since 2×131828251456² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 120610846 + ... + 120611938.

Almost surely, 2^131828251456 is an apocalyptic number.

131828251456 is a gapful number since it is divisible by the number (16) 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 131828251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153654312960).

131828251456 is an abundant number, since it is smaller than the sum of its proper divisors (175480374464).

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

131828251456 is a wasteful number, since it uses less digits than its factorization.

131828251456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1323 counting only the distinct ones).

The product of its digits is 460800, while the sum is 46.

The spelling of 131828251456 in words is "one hundred thirty-one billion, eight hundred twenty-eight million, two hundred fifty-one thousand, four hundred fifty-six".