125341632 has 168 divisors, whose sum is σ = 407730960. Its totient is φ = 36495360.

The previous prime is 125341589. The next prime is 125341679. The reversal of 125341632 is 236143521.

125341632 is a `hidden beast` number, since 1 + 25 + 3 + 4 + 1 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125341596 and 125341605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141832 + ... + 142712.

It is an arithmetic number, because the mean of its divisors is an integer number (2426970).

Almost surely, 2^125341632 is an apocalyptic number.

125341632 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 125341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203865480).

125341632 is an abundant number, since it is smaller than the sum of its proper divisors (282389328).

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

125341632 is a wasteful number, since it uses less digits than its factorization.

125341632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 918 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 125341632 is about 11195.6077101692. The cubic root of 125341632 is about 500.4550949848.

The spelling of 125341632 in words is "one hundred twenty-five million, three hundred forty-one thousand, six hundred thirty-two".