125015034144 has 384 divisors, whose sum is σ = 447211763712. Its totient is φ = 29524746240.

The previous prime is 125015034127. The next prime is 125015034167. The reversal of 125015034144 is 441430510521.

125015034144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6428724 + ... + 6448140.

It is an arithmetic number, because the mean of its divisors is an integer number (1164613968).

Almost surely, 2^125015034144 is an apocalyptic number.

125015034144 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 125015034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223605881856).

125015034144 is an abundant number, since it is smaller than the sum of its proper divisors (322196729568).

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

125015034144 is a wasteful number, since it uses less digits than its factorization.

125015034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19528 (or 19520 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 125015034144 its reverse (441430510521), we get a palindrome (566445544665).

The spelling of 125015034144 in words is "one hundred twenty-five billion, fifteen million, thirty-four thousand, one hundred forty-four".