125141632 has 64 divisors (see below), whose sum is σ = 310847040. Its totient is φ = 48752640.

The previous prime is 125141623. The next prime is 125141647. The reversal of 125141632 is 236141521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 125141597 and 125141606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3508 + ... + 16204.

It is an arithmetic number, because the mean of its divisors is an integer number (4856985).

Almost surely, 2^125141632 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 125141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155423520).

125141632 is an abundant number, since it is smaller than the sum of its proper divisors (185705408).

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

125141632 is a wasteful number, since it uses less digits than its factorization.

125141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12729 (or 12717 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 125141632 is about 11186.6720699232. The cubic root of 125141632 is about 500.1887713884.

The spelling of 125141632 in words is "one hundred twenty-five million, one hundred forty-one thousand, six hundred thirty-two".