125303136 has 96 divisors (see below), whose sum is σ = 378201600. Its totient is φ = 35582976.

The previous prime is 125303131. The next prime is 125303137. The reversal of 125303136 is 631303521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125303131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133260 + ... + 134196.

It is an arithmetic number, because the mean of its divisors is an integer number (3939600).

Almost surely, 2^125303136 is an apocalyptic number.

125303136 is a gapful number since it is divisible by the number (16) 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 125303136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189100800).

125303136 is an abundant number, since it is smaller than the sum of its proper divisors (252898464).

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

125303136 is a wasteful number, since it uses less digits than its factorization.

125303136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 125303136 is about 11193.8883324786. Note that the first 3 decimals coincide. The cubic root of 125303136 is about 500.4038550477.

Adding to 125303136 its reverse (631303521), we get a palindrome (756606657).

The spelling of 125303136 in words is "one hundred twenty-five million, three hundred three thousand, one hundred thirty-six".