125270640 has 120 divisors (see below), whose sum is σ = 458975088. Its totient is φ = 30366720.

The previous prime is 125270623. The next prime is 125270647. The reversal of 125270640 is 46072521.

125270640 is a `hidden beast` number, since 12 + 5 + 2 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125270647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12 + ... + 15828.

Almost surely, 2^125270640 is an apocalyptic number.

125270640 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 125270640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229487544).

125270640 is an abundant number, since it is smaller than the sum of its proper divisors (333704448).

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

125270640 is a wasteful number, since it uses less digits than its factorization.

125270640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15838 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125270640 is about 11192.4367320079. The cubic root of 125270640 is about 500.3605932159.

The spelling of 125270640 in words is "one hundred twenty-five million, two hundred seventy thousand, six hundred forty".