135150531315200 has 240 divisors, whose sum is σ = 350565896252880. Its totient is φ = 51567187230720.

The previous prime is 135150531315179. The next prime is 135150531315203. The reversal of 135150531315200 is 2513135051531.

It is a super-2 number, since 2×135150531315200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135150531315203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28616282 + ... + 33002918.

It is an arithmetic number, because the mean of its divisors is an integer number (1460691234387).

Almost surely, 2^{135150531315200} is an apocalyptic number.

135150531315200 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 135150531315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175282948126440).

135150531315200 is an abundant number, since it is smaller than the sum of its proper divisors (215415364937680).

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

135150531315200 is an equidigital number, since it uses as much as digits as its factorization.

135150531315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386777 (or 4386756 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 35.

Adding to 135150531315200 its reverse (2513135051531), we get a palindrome (137663666366731).

The spelling of 135150531315200 in words is "one hundred thirty-five trillion, one hundred fifty billion, five hundred thirty-one million, three hundred fifteen thousand, two hundred".