125268066 has 128 divisors (see below), whose sum is σ = 355000320. Its totient is φ = 31795200.

The previous prime is 125268061. The next prime is 125268067. The reversal of 125268066 is 660862521.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 125268066.

It is not an unprimeable number, because it can be changed into a prime (125268061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195106 + ... + 195746.

It is an arithmetic number, because the mean of its divisors is an integer number (2773440).

Almost surely, 2^125268066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125268066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177500160).

125268066 is an abundant number, since it is smaller than the sum of its proper divisors (229732254).

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

125268066 is a wasteful number, since it uses less digits than its factorization.

125268066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 125268066 is about 11192.3217430522. The cubic root of 125268066 is about 500.3571661373.

The spelling of 125268066 in words is "one hundred twenty-five million, two hundred sixty-eight thousand, sixty-six".