125897820 has 96 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 32148480.

The previous prime is 125897773. The next prime is 125897861. The reversal of 125897820 is 28798521.

It is a super-2 number, since 2×125897820² = 31700522161504800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 209881 + ... + 210479.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2^125897820 is an apocalyptic number.

125897820 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 125897820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

125897820 is an abundant number, since it is smaller than the sum of its proper divisors (241820580).

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

125897820 is a wasteful number, since it uses less digits than its factorization.

125897820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 125897820 is about 11220.4197782436. The cubic root of 125897820 is about 501.1942386505.

The spelling of 125897820 in words is "one hundred twenty-five million, eight hundred ninety-seven thousand, eight hundred twenty".