125075664 has 200 divisors, whose sum is σ = 438596928. Its totient is φ = 33592320.

The previous prime is 125075663. The next prime is 125075683. The reversal of 125075664 is 466570521.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125075663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153819 + ... + 154629.

Almost surely, 2^125075664 is an apocalyptic number.

125075664 is a gapful number since it is divisible by the number (14) 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 125075664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219298464).

125075664 is an abundant number, since it is smaller than the sum of its proper divisors (313521264).

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

125075664 is a wasteful number, since it uses less digits than its factorization.

125075664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 125075664 is about 11183.7231725396. The cubic root of 125075664 is about 500.1008649845.

The spelling of 125075664 in words is "one hundred twenty-five million, seventy-five thousand, six hundred sixty-four".