667125152 has 48 divisors (see below), whose sum is σ = 1394615880. Its totient is φ = 313049088.

The previous prime is 667125127. The next prime is 667125181. The reversal of 667125152 is 251521766.

It can be written as a sum of positive squares in 4 ways, for example, as 661724176 + 5400976 = 25724^2 + 2324^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214424 + ... + 217512.

Almost surely, 2^667125152 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 667125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697307940).

667125152 is an abundant number, since it is smaller than the sum of its proper divisors (727490728).

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

667125152 is a wasteful number, since it uses less digits than its factorization.

667125152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3505 counting only the distinct ones).

The product of its digits is 25200, while the sum is 35.

The square root of 667125152 is about 25828.7659790397. The cubic root of 667125152 is about 873.7806807605.

The spelling of 667125152 in words is "six hundred sixty-seven million, one hundred twenty-five thousand, one hundred fifty-two".