125289540 has 36 divisors (see below), whose sum is σ = 380045484. Its totient is φ = 33410496.

The previous prime is 125289539. The next prime is 125289551. The reversal of 125289540 is 45982521.

125289540 is a `hidden beast` number, since 1 + 2 + 528 + 95 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31741956 + 93547584 = 5634^2 + 9672^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125289495 and 125289504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347847 + ... + 348206.

It is an arithmetic number, because the mean of its divisors is an integer number (10556819).

Almost surely, 2^125289540 is an apocalyptic number.

125289540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125289540 is an abundant number, since it is smaller than the sum of its proper divisors (254755944).

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

125289540 is a wasteful number, since it uses less digits than its factorization.

125289540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696068 (or 696063 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 125289540 is about 11193.2810203264. The cubic root of 125289540 is about 500.3857556420.

The spelling of 125289540 in words is "one hundred twenty-five million, two hundred eighty-nine thousand, five hundred forty".