125900768 has 48 divisors (see below), whose sum is σ = 284215680. Its totient is φ = 53778816.

The previous prime is 125900729. The next prime is 125900771. The reversal of 125900768 is 867009521.

It is a super-3 number, since 3×125900768³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84155 + ... + 85637.

It is an arithmetic number, because the mean of its divisors is an integer number (5921160).

Almost surely, 2^125900768 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 125900768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142107840).

125900768 is an abundant number, since it is smaller than the sum of its proper divisors (158314912).

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

125900768 is a wasteful number, since it uses less digits than its factorization.

125900768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 125900768 is about 11220.5511451087. The cubic root of 125900768 is about 501.1981505770.

The spelling of 125900768 in words is "one hundred twenty-five million, nine hundred thousand, seven hundred sixty-eight".