125345766 has 64 divisors (see below), whose sum is σ = 310560768. Its totient is φ = 32842368.

The previous prime is 125345729. The next prime is 125345767. The reversal of 125345766 is 667543521.

It is a super-2 number, since 2×125345766² = 31423122108253512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125345767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93795 + ... + 95121.

It is an arithmetic number, because the mean of its divisors is an integer number (4852512).

Almost surely, 2^125345766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125345766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155280384).

125345766 is an abundant number, since it is smaller than the sum of its proper divisors (185215002).

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

125345766 is a wasteful number, since it uses less digits than its factorization.

125345766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525.

The product of its digits is 151200, while the sum is 39.

The square root of 125345766 is about 11195.7923346229. The cubic root of 125345766 is about 500.4605969040.

The spelling of 125345766 in words is "one hundred twenty-five million, three hundred forty-five thousand, seven hundred sixty-six".