125835880 has 16 divisors (see below), whose sum is σ = 283130820. Its totient is φ = 50334336.

The previous prime is 125835839. The next prime is 125835883. The reversal of 125835880 is 88538521.

It can be written as a sum of positive squares in 2 ways, for example, as 121484484 + 4351396 = 11022^2 + 2086^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 3145897 = 125835880 / (1 + 2 + 5 + 8 + 3 + 5 + 8 + 8 + 0).

It is not an unprimeable number, because it can be changed into a prime (125835883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1572909 + ... + 1572988.

Almost surely, 2^125835880 is an apocalyptic number.

125835880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125835880 is an abundant number, since it is smaller than the sum of its proper divisors (157294940).

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

125835880 is a wasteful number, since it uses less digits than its factorization.

125835880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145908 (or 3145904 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 125835880 is about 11217.6592923836. The cubic root of 125835880 is about 501.1120316045.

The spelling of 125835880 in words is "one hundred twenty-five million, eight hundred thirty-five thousand, eight hundred eighty".