125061888 has 144 divisors (see below), whose sum is σ = 389962496. Its totient is φ = 34836480.

The previous prime is 125061869. The next prime is 125061917. The reversal of 125061888 is 888160521.

It is a super-3 number, since 3×125061888³ (a number of 25 digits) contains 333 as substring.

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, 230898 + ... + 231438.

Almost surely, 2^125061888 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 125061888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194981248).

125061888 is an abundant number, since it is smaller than the sum of its proper divisors (264900608).

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

125061888 is an equidigital number, since it uses as much as digits as its factorization.

125061888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 125061888 is about 11183.1072605068. The cubic root of 125061888 is about 500.0825037189.

The spelling of 125061888 in words is "one hundred twenty-five million, sixty-one thousand, eight hundred eighty-eight".