125633320 has 64 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 46695168.

The previous prime is 125633317. The next prime is 125633327. The reversal of 125633320 is 23336521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (125633327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38721 + ... + 41839.

It is an arithmetic number, because the mean of its divisors is an integer number (4738500).

Almost surely, 2^125633320 is an apocalyptic number.

125633320 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 125633320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

125633320 is an abundant number, since it is smaller than the sum of its proper divisors (177630680).

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

125633320 is a wasteful number, since it uses less digits than its factorization.

125633320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 125633320 is about 11208.6270345658. The cubic root of 125633320 is about 500.8430045545.

Adding to 125633320 its reverse (23336521), we get a palindrome (148969841).

The spelling of 125633320 in words is "one hundred twenty-five million, six hundred thirty-three thousand, three hundred twenty".