125410896 has 160 divisors (see below), whose sum is σ = 392891520. Its totient is φ = 38071296.

The previous prime is 125410889. The next prime is 125410897. The reversal of 125410896 is 698014521.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125410896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125410897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769311 + ... + 769473.

It is an arithmetic number, because the mean of its divisors is an integer number (2455572).

Almost surely, 2^125410896 is an apocalyptic number.

125410896 is a gapful number since it is divisible by the number (16) 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 125410896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196445760).

125410896 is an abundant number, since it is smaller than the sum of its proper divisors (267480624).

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

125410896 is a wasteful number, since it uses less digits than its factorization.

125410896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 125410896 is about 11198.7006389134. The cubic root of 125410896 is about 500.5472621231.

The spelling of 125410896 in words is "one hundred twenty-five million, four hundred ten thousand, eight hundred ninety-six".