135047551200 has 288 divisors, whose sum is σ = 467556074496. Its totient is φ = 33740021760.

The previous prime is 135047551193. The next prime is 135047551201. The reversal of 135047551200 is 2155740531.

It is a super-3 number, since 3×135047551200³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135047551201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9090979 + ... + 9105821.

It is an arithmetic number, because the mean of its divisors is an integer number (1623458592).

Almost surely, 2^135047551200 is an apocalyptic number.

135047551200 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 135047551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233778037248).

135047551200 is an abundant number, since it is smaller than the sum of its proper divisors (332508523296).

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

135047551200 is a wasteful number, since it uses less digits than its factorization.

135047551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15106 (or 15093 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The spelling of 135047551200 in words is "one hundred thirty-five billion, forty-seven million, five hundred fifty-one thousand, two hundred".