125434512 has 180 divisors, whose sum is σ = 423125820. Its totient is φ = 34546176.

The previous prime is 125434501. The next prime is 125434559. The reversal of 125434512 is 215434521.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 103306896 = 4704^2 + 10164^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204318 + ... + 204930.

It is an arithmetic number, because the mean of its divisors is an integer number (2350699).

Almost surely, 2^125434512 is an apocalyptic number.

125434512 is a gapful number since it is divisible by the number (12) 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 125434512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211562910).

125434512 is an abundant number, since it is smaller than the sum of its proper divisors (297691308).

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

125434512 is a wasteful number, since it uses less digits than its factorization.

125434512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 654 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 125434512 is about 11199.7549973203. The cubic root of 125434512 is about 500.5786793354.

Subtracting 125434512 from its reverse (215434521), we obtain a palindrome (90000009).

The spelling of 125434512 in words is "one hundred twenty-five million, four hundred thirty-four thousand, five hundred twelve".