125969320 has 64 divisors (see below), whose sum is σ = 301611600. Its totient is φ = 47349760.

The previous prime is 125969279. The next prime is 125969329. The reversal of 125969320 is 23969521.

It can be written as a sum of positive squares in 8 ways, for example, as 89075844 + 36893476 = 9438^2 + 6074^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 125969320.

It is not an unprimeable number, because it can be changed into a prime (125969329) 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, 196200 + ... + 196840.

Almost surely, 2^125969320 is an apocalyptic number.

125969320 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 125969320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150805800).

125969320 is an abundant number, since it is smaller than the sum of its proper divisors (175642280).

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

125969320 is an equidigital number, since it uses as much as digits as its factorization.

125969320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 125969320 is about 11223.6054813059. The cubic root of 125969320 is about 501.2891002515.

The spelling of 125969320 in words is "one hundred twenty-five million, nine hundred sixty-nine thousand, three hundred twenty".