125085132 has 72 divisors (see below), whose sum is σ = 347343360. Its totient is φ = 37778400.

The previous prime is 125085131. The next prime is 125085143. The reversal of 125085132 is 231580521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 125085096 and 125085105.

It is not an unprimeable number, because it can be changed into a prime (125085131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11757 + ... + 19707.

Almost surely, 2^125085132 is an apocalyptic number.

125085132 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 125085132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173671680).

125085132 is an abundant number, since it is smaller than the sum of its proper divisors (222258228).

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

125085132 is a wasteful number, since it uses less digits than its factorization.

125085132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8003 (or 7998 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 125085132 is about 11184.1464582685. The cubic root of 125085132 is about 500.1134835743.

The spelling of 125085132 in words is "one hundred twenty-five million, eighty-five thousand, one hundred thirty-two".