135667123200 has 1188 divisors, whose sum is σ = 577237615812. Its totient is φ = 30346444800.

The previous prime is 135667123181. The next prime is 135667123219. The reversal of 135667123200 is 2321766531.

135667123200 is a `hidden beast` number, since 1 + 3 + 566 + 71 + 2 + 3 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135667123181) and next prime (135667123219).

It can be written as a sum of positive squares in 6 ways, for example, as 2027160576 + 133639962624 = 45024^2 + 365568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 688665502 + ... + 688665698.

It is an arithmetic number, because the mean of its divisors is an integer number (485890249).

Almost surely, 2^135667123200 is an apocalyptic number.

135667123200 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 135667123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288618807906).

135667123200 is an abundant number, since it is smaller than the sum of its proper divisors (441570492612).

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

135667123200 is a wasteful number, since it uses less digits than its factorization.

135667123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 275 counting only the distinct ones).

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

Adding to 135667123200 its reverse (2321766531), we get a palindrome (137988889731).

The spelling of 135667123200 in words is "one hundred thirty-five billion, six hundred sixty-seven million, one hundred twenty-three thousand, two hundred".