125207040 has 320 divisors, whose sum is σ = 487897344. Its totient is φ = 26738688.

The previous prime is 125207011. The next prime is 125207053. The reversal of 125207040 is 40702521.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 125206998 and 125207016.

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, 913852 + ... + 913988.

Almost surely, 2^125207040 is an apocalyptic number.

125207040 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 125207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243948672).

125207040 is an abundant number, since it is smaller than the sum of its proper divisors (362690304).

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

125207040 is a wasteful number, since it uses less digits than its factorization.

125207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 125207040 is about 11189.5951669397. The cubic root of 125207040 is about 500.2759010625.

Adding to 125207040 its reverse (40702521), we get a palindrome (165909561).

The spelling of 125207040 in words is "one hundred twenty-five million, two hundred seven thousand, forty".