125787640 has 64 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 45525120.

The previous prime is 125787611. The next prime is 125787653. The reversal of 125787640 is 46787521.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 125787593 and 125787602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115177 + ... + 116263.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2^125787640 is an apocalyptic number.

125787640 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 125787640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280).

125787640 is an abundant number, since it is smaller than the sum of its proper divisors (184422920).

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

125787640 is a wasteful number, since it uses less digits than its factorization.

125787640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 125787640 is about 11215.5089050832. The cubic root of 125787640 is about 501.0479885719.

The spelling of 125787640 in words is "one hundred twenty-five million, seven hundred eighty-seven thousand, six hundred forty".