125059488 has 48 divisors (see below), whose sum is σ = 329749056. Its totient is φ = 41500160.

The previous prime is 125059483. The next prime is 125059499. The reversal of 125059488 is 884950521.

It is a happy number.

It is a Cunningham number, because it is equal to 11183²-1.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (125059483) 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 7 ways as a sum of consecutive naturals, for example, 19573 + ... + 25163.

It is an arithmetic number, because the mean of its divisors is an integer number (6869772).

Almost surely, 2^125059488 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 125059488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164874528).

125059488 is an abundant number, since it is smaller than the sum of its proper divisors (204689568).

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

125059488 is a wasteful number, since it uses less digits than its factorization.

125059488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 125059488 is about 11182.9999552893. Note that the first 4 decimals coincide. The cubic root of 125059488 is about 500.0793047542.

The spelling of 125059488 in words is "one hundred twenty-five million, fifty-nine thousand, four hundred eighty-eight".