125784864 has 144 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 39191040.

The previous prime is 125784863. The next prime is 125784877. The reversal of 125784864 is 468487521.

125784864 is a `hidden beast` number, since 12 + 578 + 4 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×125784864² = 31643664022996992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125784863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694854 + ... + 695034.

It is an arithmetic number, because the mean of its divisors is an integer number (2649920).

Almost surely, 2^125784864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125784864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

125784864 is an abundant number, since it is smaller than the sum of its proper divisors (255803616).

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

125784864 is a wasteful number, since it uses less digits than its factorization.

125784864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 125784864 is about 11215.3851471985. The cubic root of 125784864 is about 501.0443026787.

The spelling of 125784864 in words is "one hundred twenty-five million, seven hundred eighty-four thousand, eight hundred sixty-four".