125864640 has 336 divisors, whose sum is σ = 492130080. Its totient is φ = 29245440.

The previous prime is 125864633. The next prime is 125864647. The reversal of 125864640 is 46468521.

125864640 = T₃₃₁ + T₃₃₂ + ... + T₉₂₄.

125864640 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 6 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (125864633) and next prime (125864647).

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 = 125864595 and 125864604.

It is not an unprimeable number, because it can be changed into a prime (125864647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918652 + ... + 918788.

Almost surely, 2^125864640 is an apocalyptic number.

125864640 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 125864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246065040).

125864640 is an abundant number, since it is smaller than the sum of its proper divisors (366265440).

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

125864640 is a wasteful number, since it uses less digits than its factorization.

125864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 125864640 is about 11218.9411265057. The cubic root of 125864640 is about 501.1502053597.

The spelling of 125864640 in words is "one hundred twenty-five million, eight hundred sixty-four thousand, six hundred forty".