125605032 has 144 divisors (see below), whose sum is σ = 381288960. Its totient is φ = 34376832.

The previous prime is 125605013. The next prime is 125605057. The reversal of 125605032 is 230506521.

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

It is a junction number, because it is equal to n+sod(n) for n = 125604993 and 125605011.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 988953 + ... + 989079.

It is an arithmetic number, because the mean of its divisors is an integer number (2647840).

Almost surely, 2^125605032 is an apocalyptic number.

125605032 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 125605032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190644480).

125605032 is an abundant number, since it is smaller than the sum of its proper divisors (255683928).

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

125605032 is a wasteful number, since it uses less digits than its factorization.

125605032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 125605032 is about 11207.3650783759. The cubic root of 125605032 is about 500.8054112621.

The spelling of 125605032 in words is "one hundred twenty-five million, six hundred five thousand, thirty-two".