125742888 has 64 divisors (see below), whose sum is σ = 351720000. Its totient is φ = 41622336.

The previous prime is 125742887. The next prime is 125742889. The reversal of 125742888 is 888247521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125742887) and next prime (125742889).

It is a super-2 number, since 2×125742888² = 31622547765161088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125742887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30231 + ... + 34137.

It is an arithmetic number, because the mean of its divisors is an integer number (5495625).

Almost surely, 2^125742888 is an apocalyptic number.

125742888 is a gapful number since it is divisible by the number (18) 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 125742888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175860000).

125742888 is an abundant number, since it is smaller than the sum of its proper divisors (225977112).

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

125742888 is a wasteful number, since it uses less digits than its factorization.

125742888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4061 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 125742888 is about 11213.5136331125. The cubic root of 125742888 is about 500.9885615374.

The spelling of 125742888 in words is "one hundred twenty-five million, seven hundred forty-two thousand, eight hundred eighty-eight".