125015040 has 132 divisors (see below), whose sum is σ = 433333524. Its totient is φ = 33325056.

The previous prime is 125015021. The next prime is 125015057. The reversal of 125015040 is 40510521.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 31002624 = 9696^2 + 5568^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 44724 + ... + 47436.

Almost surely, 2^125015040 is an apocalyptic number.

125015040 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 125015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216666762).

125015040 is an abundant number, since it is smaller than the sum of its proper divisors (308318484).

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

125015040 is a wasteful number, since it uses less digits than its factorization.

125015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 125015040 is about 11181.0124765157. The cubic root of 125015040 is about 500.0200525291.

Adding to 125015040 its reverse (40510521), we get a palindrome (165525561).

It can be divided in two parts, 1250 and 15040, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 125015040 in words is "one hundred twenty-five million, fifteen thousand, forty".