125784288 has 144 divisors (see below), whose sum is σ = 418594176. Its totient is φ = 35078400.

The previous prime is 125784287. The next prime is 125784293. The reversal of 125784288 is 882487521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125784287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85963 + ... + 87413.

It is an arithmetic number, because the mean of its divisors is an integer number (2906904).

Almost surely, 2^125784288 is an apocalyptic number.

125784288 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 125784288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209297088).

125784288 is an abundant number, since it is smaller than the sum of its proper divisors (292809888).

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

125784288 is a wasteful number, since it uses less digits than its factorization.

125784288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1506 counting only the distinct ones).

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

The square root of 125784288 is about 11215.3594681579. The cubic root of 125784288 is about 501.0435378756.

The spelling of 125784288 in words is "one hundred twenty-five million, seven hundred eighty-four thousand, two hundred eighty-eight".