125578040 has 64 divisors (see below), whose sum is σ = 324034560. Its totient is φ = 42906240.

The previous prime is 125578027. The next prime is 125578051. The reversal of 125578040 is 40875521.

It is a junction number, because it is equal to n+sod(n) for n = 125577988 and 125578006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106655 + ... + 107825.

It is an arithmetic number, because the mean of its divisors is an integer number (5063040).

Almost surely, 2^125578040 is an apocalyptic number.

125578040 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 125578040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162017280).

125578040 is an abundant number, since it is smaller than the sum of its proper divisors (198456520).

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

125578040 is a wasteful number, since it uses less digits than its factorization.

125578040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 125578040 is about 11206.1608055569. The cubic root of 125578040 is about 500.7695350241.

The spelling of 125578040 in words is "one hundred twenty-five million, five hundred seventy-eight thousand, forty".