125989456 has 80 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 55641600.

The previous prime is 125989453. The next prime is 125989481. The reversal of 125989456 is 654989521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125989453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273066 + ... + 273526.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^125989456 is an apocalyptic number.

125989456 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 125989456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

125989456 is an abundant number, since it is smaller than the sum of its proper divisors (148992944).

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

125989456 is a wasteful number, since it uses less digits than its factorization.

125989456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its digits is 777600, while the sum is 49.

The square root of 125989456 is about 11224.5024834066. The cubic root of 125989456 is about 501.3158089229.

The spelling of 125989456 in words is "one hundred twenty-five million, nine hundred eighty-nine thousand, four hundred fifty-six".