135018151200 has 324 divisors, whose sum is σ = 497722147650. Its totient is φ = 34438440960.

The previous prime is 135018151183. The next prime is 135018151243. The reversal of 135018151200 is 2151810531.

135018151200 is a `hidden beast` number, since 1 + 3 + 501 + 8 + 151 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 90670845456 + 44347305744 = 301116^2 + 210588^2 .

It is a super-2 number, since 2×135018151200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3791076 + ... + 3826524.

Almost surely, 2^135018151200 is an apocalyptic number.

135018151200 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 135018151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248861073825).

135018151200 is an abundant number, since it is smaller than the sum of its proper divisors (362703996450).

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

135018151200 is a wasteful number, since it uses less digits than its factorization.

135018151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35521 (or 35482 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 135018151200 its reverse (2151810531), we get a palindrome (137169961731).

The spelling of 135018151200 in words is "one hundred thirty-five billion, eighteen million, one hundred fifty-one thousand, two hundred".