125607040 has 128 divisors (see below), whose sum is σ = 334494720. Its totient is φ = 44789760.

The previous prime is 125607037. The next prime is 125607059. The reversal of 125607040 is 40706521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 125606996 and 125607014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257677 + ... + 258163.

It is an arithmetic number, because the mean of its divisors is an integer number (2613240).

Almost surely, 2^125607040 is an apocalyptic number.

125607040 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 125607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167247360).

125607040 is an abundant number, since it is smaller than the sum of its proper divisors (208887680).

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

125607040 is a wasteful number, since it uses less digits than its factorization.

125607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 125607040 is about 11207.4546619650. The cubic root of 125607040 is about 500.8080799766.

It can be divided in two parts, 12560 and 7040, that added together give a square (19600 = 140²).

The spelling of 125607040 in words is "one hundred twenty-five million, six hundred seven thousand, forty".