135003335184 has 135 divisors (see below), whose sum is σ = 384386235597. Its totient is φ = 44232452352.

The previous prime is 135003335179. The next prime is 135003335213. The reversal of 135003335184 is 481533300531.

The square root of 135003335184 is 367428.

It is a perfect power (a square), and thus also a powerful number.

135003335184 is a `hidden beast` number, since 13 + 500 + 33 + 35 + 1 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116758890000 + 18244445184 = 341700^2 + 135072^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 295411884 + ... + 295412340.

Almost surely, 2^135003335184 is an apocalyptic number.

135003335184 is the 367428-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135003335184

135003335184 is an abundant number, since it is smaller than the sum of its proper divisors (249382900413).

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

135003335184 is an frugal number, since it uses more digits than its factorization.

135003335184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 135003335184 by its sum of digits (36), we get a square (4860120066624 = 2204568²).

135003335184 divided by its sum of digits (36) gives a square (3750092644 = 61238²).

The spelling of 135003335184 in words is "one hundred thirty-five billion, three million, three hundred thirty-five thousand, one hundred eighty-four".