125034333144 has 128 divisors (see below), whose sum is σ = 376966464000. Its totient is φ = 33760779264.

The previous prime is 125034333143. The next prime is 125034333157. The reversal of 125034333144 is 441333430521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125034333143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257642 + ... + 1353414.

It is an arithmetic number, because the mean of its divisors is an integer number (2945050500).

Almost surely, 2^125034333144 is an apocalyptic number.

125034333144 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 125034333144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188483232000).

125034333144 is an abundant number, since it is smaller than the sum of its proper divisors (251932130856).

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

125034333144 is a wasteful number, since it uses less digits than its factorization.

125034333144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96217 (or 96213 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 125034333144 its reverse (441333430521), we get a palindrome (566367763665).

The spelling of 125034333144 in words is "one hundred twenty-five billion, thirty-four million, three hundred thirty-three thousand, one hundred forty-four".