135504072 has 48 divisors (see below), whose sum is σ = 400355280. Its totient is φ = 41061600.

The previous prime is 135504049. The next prime is 135504073. The reversal of 135504072 is 270405531.

It is a happy number.

135504072 is a `hidden beast` number, since 1 + 3 + 550 + 40 + 72 = 666.

It is a super-2 number, since 2×135504072² = 36722707057162368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135504073) 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, 84754 + ... + 86337.

It is an arithmetic number, because the mean of its divisors is an integer number (8340735).

Almost surely, 2^135504072 is an apocalyptic number.

135504072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135504072 is an abundant number, since it is smaller than the sum of its proper divisors (264851208).

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

135504072 is a wasteful number, since it uses less digits than its factorization.

135504072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171114 (or 171107 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135504072 is about 11640.6216328854. The cubic root of 135504072 is about 513.6304731970.

The spelling of 135504072 in words is "one hundred thirty-five million, five hundred four thousand, seventy-two".