125444883144 has 96 divisors (see below), whose sum is σ = 365205110400. Its totient is φ = 35802990720.

The previous prime is 125444883133. The next prime is 125444883191. The reversal of 125444883144 is 441388444521.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 125444883093 and 125444883102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049937 + ... + 1163295.

It is an arithmetic number, because the mean of its divisors is an integer number (3804219900).

Almost surely, 2^125444883144 is an apocalyptic number.

125444883144 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 125444883144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182602555200).

125444883144 is an abundant number, since it is smaller than the sum of its proper divisors (239760227256).

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

125444883144 is a wasteful number, since it uses less digits than its factorization.

125444883144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114323 (or 114312 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 48.

The spelling of 125444883144 in words is "one hundred twenty-five billion, four hundred forty-four million, eight hundred eighty-three thousand, one hundred forty-four".