125050032 has 120 divisors (see below), whose sum is σ = 365988480. Its totient is φ = 39813120.

The previous prime is 125050031. The next prime is 125050069. The reversal of 125050032 is 230050521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 125049987 and 125050014.

It is not an unprimeable number, because it can be changed into a prime (125050031) 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 23 ways as a sum of consecutive naturals, for example, 486448 + ... + 486704.

It is an arithmetic number, because the mean of its divisors is an integer number (3049904).

Almost surely, 2^125050032 is an apocalyptic number.

125050032 is a gapful number since it is divisible by the number (12) 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 125050032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182994240).

125050032 is an abundant number, since it is smaller than the sum of its proper divisors (240938448).

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

125050032 is a wasteful number, since it uses less digits than its factorization.

125050032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 125050032 is about 11182.5771627116. The cubic root of 125050032 is about 500.0667004350.

The spelling of 125050032 in words is "one hundred twenty-five million, fifty thousand, thirty-two".