125305031040 has 256 divisors, whose sum is σ = 460513451520. Its totient is φ = 28387344384.

The previous prime is 125305031039. The next prime is 125305031051. The reversal of 125305031040 is 40130503521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125305031040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1477467 + ... + 1559973.

It is an arithmetic number, because the mean of its divisors is an integer number (1798880670).

Almost surely, 2^125305031040 is an apocalyptic number.

125305031040 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 125305031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230256725760).

125305031040 is an abundant number, since it is smaller than the sum of its proper divisors (335208420480).

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

125305031040 is a wasteful number, since it uses less digits than its factorization.

125305031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82649 (or 82637 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 125305031040 its reverse (40130503521), we get a palindrome (165435534561).

The spelling of 125305031040 in words is "one hundred twenty-five billion, three hundred five million, thirty-one thousand, forty".