125445680 has 80 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 47334144.

The previous prime is 125445673. The next prime is 125445689. The reversal of 125445680 is 86544521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 125445680.

It is not an unprimeable number, because it can be changed into a prime (125445689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144929 + ... + 145791.

It is an arithmetic number, because the mean of its divisors is an integer number (3856896).

Almost surely, 2^125445680 is an apocalyptic number.

125445680 is a gapful number since it is divisible by the number (10) 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 125445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

125445680 is an abundant number, since it is smaller than the sum of its proper divisors (183106000).

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

125445680 is a wasteful number, since it uses less digits than its factorization.

125445680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 125445680 is about 11200.2535685582. The cubic root of 125445680 is about 500.5935351533.

The spelling of 125445680 in words is "one hundred twenty-five million, four hundred forty-five thousand, six hundred eighty".