125732160 has 168 divisors, whose sum is σ = 436854600. Its totient is φ = 33189888.

The previous prime is 125732111. The next prime is 125732171. The reversal of 125732160 is 61237521.

It is a happy number.

125732160 is a `hidden beast` number, since 12 + 573 + 21 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17239104 + 108493056 = 4152^2 + 10416^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 428974 + ... + 429266.

It is an arithmetic number, because the mean of its divisors is an integer number (2600325).

Almost surely, 2^125732160 is an apocalyptic number.

125732160 is a gapful number since it is divisible by the number (10) 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 125732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218427300).

125732160 is an abundant number, since it is smaller than the sum of its proper divisors (311122440).

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

125732160 is a wasteful number, since it uses less digits than its factorization.

125732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 125732160 is about 11213.0352715043. The cubic root of 125732160 is about 500.9743135264.

Adding to 125732160 its reverse (61237521), we get a palindrome (186969681).

The spelling of 125732160 in words is "one hundred twenty-five million, seven hundred thirty-two thousand, one hundred sixty".