125036032 has 60 divisors (see below), whose sum is σ = 274380876. Its totient is φ = 56453120.

The previous prime is 125036029. The next prime is 125036033. The reversal of 125036032 is 230630521.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 125035994 and 125036012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125036033) 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 5 ways as a sum of consecutive naturals, for example, 839094 + ... + 839242.

Almost surely, 2^125036032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137190438).

125036032 is an abundant number, since it is smaller than the sum of its proper divisors (149344844).

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

125036032 is an frugal number, since it uses more digits than its factorization.

125036032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 125036032 is about 11181.9511714191. The cubic root of 125036032 is about 500.0480380512.

Multiplying 125036032 by its sum of digits (22), we get a square (2750792704 = 52448²).

125036032 divided by its sum of digits (22) gives a square (5683456 = 2384²).

Adding to 125036032 its reverse (230630521), we get a palindrome (355666553).

The spelling of 125036032 in words is "one hundred twenty-five million, thirty-six thousand, thirty-two".