125827884 has 288 divisors, whose sum is σ = 429004800. Its totient is φ = 31570560.

The previous prime is 125827843. The next prime is 125827901. The reversal of 125827884 is 488728521.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2132647 + ... + 2132705.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 2^125827884 is an apocalyptic number.

125827884 is a gapful number since it is divisible by the number (14) 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 125827884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

125827884 is an abundant number, since it is smaller than the sum of its proper divisors (303176916).

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

125827884 is a wasteful number, since it uses less digits than its factorization.

125827884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

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

The square root of 125827884 is about 11217.3028843836. The cubic root of 125827884 is about 501.1014173116.

The spelling of 125827884 in words is "one hundred twenty-five million, eight hundred twenty-seven thousand, eight hundred eighty-four".