125711040 has 224 divisors, whose sum is σ = 491581440. Its totient is φ = 26505216.

The previous prime is 125711017. The next prime is 125711051. The reversal of 125711040 is 40117521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 125710998 and 125711016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86641 + ... + 88079.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^125711040 is an apocalyptic number.

125711040 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 125711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

125711040 is an abundant number, since it is smaller than the sum of its proper divisors (365870400).

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

125711040 is a wasteful number, since it uses less digits than its factorization.

125711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 125711040 is about 11212.0934708912. The cubic root of 125711040 is about 500.9462613824.

Adding to 125711040 its reverse (40117521), we get a palindrome (165828561).

The spelling of 125711040 in words is "one hundred twenty-five million, seven hundred eleven thousand, forty".