125504640 has 224 divisors, whose sum is σ = 451518300. Its totient is φ = 33343488.

The previous prime is 125504609. The next prime is 125504651. The reversal of 125504640 is 46405521.

125504640 is a `hidden beast` number, since 12 + 5 + 5 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112021056 + 13483584 = 10584^2 + 3672^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466426 + ... + 466694.

Almost surely, 2^125504640 is an apocalyptic number.

125504640 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 125504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225759150).

125504640 is an abundant number, since it is smaller than the sum of its proper divisors (326013660).

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

125504640 is an frugal number, since it uses more digits than its factorization.

125504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 125504640 is about 11202.8853426249. The cubic root of 125504640 is about 500.6719498955.

The spelling of 125504640 in words is "one hundred twenty-five million, five hundred four thousand, six hundred forty".