125085040 has 80 divisors (see below), whose sum is σ = 306105408. Its totient is φ = 47443968.

The previous prime is 125085029. The next prime is 125085041. The reversal of 125085040 is 40580521.

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 = 125084996 and 125085014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125085041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288664 + ... + 289096.

Almost surely, 2^125085040 is an apocalyptic number.

125085040 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 125085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153052704).

125085040 is an abundant number, since it is smaller than the sum of its proper divisors (181020368).

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

125085040 is a wasteful number, since it uses less digits than its factorization.

125085040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 125085040 is about 11184.1423453030. The cubic root of 125085040 is about 500.1133609633.

The spelling of 125085040 in words is "one hundred twenty-five million, eighty-five thousand, forty".