125891424 has 72 divisors (see below), whose sum is σ = 359547552. Its totient is φ = 41783040.

The previous prime is 125891413. The next prime is 125891429. The reversal of 125891424 is 424198521.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125891429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77242 + ... + 78854.

It is an arithmetic number, because the mean of its divisors is an integer number (4993716).

Almost surely, 2^125891424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125891424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179773776).

125891424 is an abundant number, since it is smaller than the sum of its proper divisors (233656128).

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

125891424 is a wasteful number, since it uses less digits than its factorization.

125891424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1889 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 125891424 is about 11220.1347585490. The cubic root of 125891424 is about 501.1857510991.

The spelling of 125891424 in words is "one hundred twenty-five million, eight hundred ninety-one thousand, four hundred twenty-four".