131000144000 has 256 divisors, whose sum is σ = 357515907840. Its totient is φ = 47340544000.

The previous prime is 131000143949. The next prime is 131000144057. The reversal of 131000144000 is 441000131.

It is a happy number.

It is a super-2 number, since 2×131000144000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29389772 + ... + 29394228.

It is an arithmetic number, because the mean of its divisors is an integer number (1396546515).

Almost surely, 2^131000144000 is an apocalyptic number.

131000144000 is a gapful number since it is divisible by the number (10) 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 131000144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178757953920).

131000144000 is an abundant number, since it is smaller than the sum of its proper divisors (226515763840).

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

131000144000 is a wasteful number, since it uses less digits than its factorization.

131000144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 131000144000 its reverse (441000131), we get a palindrome (131441144131).

The spelling of 131000144000 in words is "one hundred thirty-one billion, one hundred forty-four thousand".