125877888 has 224 divisors, whose sum is σ = 401349600. Its totient is φ = 39191040.

The previous prime is 125877841. The next prime is 125877931. The reversal of 125877888 is 888778521.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 27 ways as a sum of consecutive naturals, for example, 1772893 + ... + 1772963.

Almost surely, 2^125877888 is an apocalyptic number.

125877888 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 125877888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200674800).

125877888 is an abundant number, since it is smaller than the sum of its proper divisors (275471712).

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

125877888 is an frugal number, since it uses more digits than its factorization.

125877888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its digits is 2007040, while the sum is 54.

The square root of 125877888 is about 11219.5315410226. The cubic root of 125877888 is about 501.1677877535.

The spelling of 125877888 in words is "one hundred twenty-five million, eight hundred seventy-seven thousand, eight hundred eighty-eight".