135211501251216 has 120 divisors (see below), whose sum is σ = 409027358932920. Its totient is φ = 41448878696448.

The previous prime is 135211501251199. The next prime is 135211501251217. The reversal of 135211501251216 is 612152105112531.

135211501251216 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 1 + 1 + 501 + 25 + 121 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8459930691216 + 126751570560000 = 2908596^2 + 11258400^2 .

It is a super-3 number, since 3×135211501251216³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (135211501251217) 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, 133749901 + ... + 134757036.

It is an arithmetic number, because the mean of its divisors is an integer number (3408561324441).

Almost surely, 2^{135211501251216} is an apocalyptic number.

135211501251216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135211501251216 is an abundant number, since it is smaller than the sum of its proper divisors (273815857681704).

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

135211501251216 is a wasteful number, since it uses less digits than its factorization.

135211501251216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268507233 (or 268507224 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

Adding to 135211501251216 its reverse (612152105112531), we get a palindrome (747363606363747).

The spelling of 135211501251216 in words is "one hundred thirty-five trillion, two hundred eleven billion, five hundred one million, two hundred fifty-one thousand, two hundred sixteen".