125839280 has 80 divisors (see below), whose sum is σ = 352001280. Its totient is φ = 40870656.

The previous prime is 125839277. The next prime is 125839283. The reversal of 125839280 is 82938521.

It is an interprime number because it is at equal distance from previous prime (125839277) and next prime (125839283).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (125839283) by changing a digit.

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, 4727 + ... + 16553.

It is an arithmetic number, because the mean of its divisors is an integer number (4400016).

Almost surely, 2^125839280 is an apocalyptic number.

125839280 is a gapful number since it is divisible by the number (10) 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 125839280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176000640).

125839280 is an abundant number, since it is smaller than the sum of its proper divisors (226162000).

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

125839280 is a wasteful number, since it uses less digits than its factorization.

125839280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11866 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 125839280 is about 11217.8108381270. The cubic root of 125839280 is about 501.1165447995.

The spelling of 125839280 in words is "one hundred twenty-five million, eight hundred thirty-nine thousand, two hundred eighty".