125525840 has 80 divisors (see below), whose sum is σ = 323282880. Its totient is φ = 44943360.

The previous prime is 125525821. The next prime is 125525879. The reversal of 125525840 is 48525521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 125525797 and 125525806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57896 + ... + 60024.

It is an arithmetic number, because the mean of its divisors is an integer number (4041036).

Almost surely, 2^125525840 is an apocalyptic number.

125525840 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 125525840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161641440).

125525840 is an abundant number, since it is smaller than the sum of its proper divisors (197757040).

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

125525840 is a wasteful number, since it uses less digits than its factorization.

125525840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The square root of 125525840 is about 11203.8314874868. The cubic root of 125525840 is about 500.7001391527.

The spelling of 125525840 in words is "one hundred twenty-five million, five hundred twenty-five thousand, eight hundred forty".