125001984 has 144 divisors (see below), whose sum is σ = 352320192. Its totient is φ = 39297024.

The previous prime is 125001979. The next prime is 125001991. The reversal of 125001984 is 489100521.

It is a happy number.

It is an unprimeable number.

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, 1506007 + ... + 1506089.

It is an arithmetic number, because the mean of its divisors is an integer number (2446668).

Almost surely, 2^125001984 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 125001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176160096).

125001984 is an abundant number, since it is smaller than the sum of its proper divisors (227318208).

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

125001984 is an equidigital number, since it uses as much as digits as its factorization.

125001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 125001984 is about 11180.4286143242. The cubic root of 125001984 is about 500.0026453193.

The spelling of 125001984 in words is "one hundred twenty-five million, one thousand, nine hundred eighty-four".