125131340250 has 192 divisors, whose sum is σ = 387130079232. Its totient is φ = 28569024000.

The previous prime is 125131340233. The next prime is 125131340251. The reversal of 125131340250 is 52043131521.

125131340250 is a `hidden beast` number, since 1 + 251 + 3 + 1 + 3 + 402 + 5 + 0 = 666.

It is a super-2 number, since 2×125131340250² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125131340251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15604242 + ... + 15612258.

It is an arithmetic number, because the mean of its divisors is an integer number (2016302496).

Almost surely, 2^125131340250 is an apocalyptic number.

125131340250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125131340250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193565039616).

125131340250 is an abundant number, since it is smaller than the sum of its proper divisors (261998738982).

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

125131340250 is a wasteful number, since it uses less digits than its factorization.

125131340250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9038 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 125131340250 its reverse (52043131521), we get a palindrome (177174471771).

The spelling of 125131340250 in words is "one hundred twenty-five billion, one hundred thirty-one million, three hundred forty thousand, two hundred fifty".