135155055200 has 72 divisors (see below), whose sum is σ = 359942509080. Its totient is φ = 49147289600.

The previous prime is 135155055169. The next prime is 135155055209. The reversal of 135155055200 is 2550551531.

It is a super-3 number, since 3×135155055200³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135155055209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7670465 + ... + 7688064.

It is an arithmetic number, because the mean of its divisors is an integer number (4999201515).

Almost surely, 2^135155055200 is an apocalyptic number.

135155055200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135155055200 is an abundant number, since it is smaller than the sum of its proper divisors (224787453880).

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

135155055200 is a wasteful number, since it uses less digits than its factorization.

135155055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15358560 (or 15358547 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 135155055200 in words is "one hundred thirty-five billion, one hundred fifty-five million, fifty-five thousand, two hundred".