125667360 has 432 divisors, whose sum is σ = 541149336. Its totient is φ = 26320896.

The previous prime is 125667343. The next prime is 125667361. The reversal of 125667360 is 63766521.

It can be written as a sum of positive squares in 4 ways, for example, as 83832336 + 41835024 = 9156^2 + 6468^2 .

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 (125667361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917212 + ... + 917348.

Almost surely, 2^125667360 is an apocalyptic number.

125667360 is a gapful number since it is divisible by the number (10) 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 125667360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270574668).

125667360 is an abundant number, since it is smaller than the sum of its proper divisors (415481976).

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

125667360 is a wasteful number, since it uses less digits than its factorization.

125667360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 125667360 is about 11210.1454049446. The cubic root of 125667360 is about 500.8882344780. Note that the first 3 decimals are identical.

The spelling of 125667360 in words is "one hundred twenty-five million, six hundred sixty-seven thousand, three hundred sixty".