135005664 has 48 divisors (see below), whose sum is σ = 355601232. Its totient is φ = 44848128.

The previous prime is 135005641. The next prime is 135005669. The reversal of 135005664 is 466500531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135005669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27802 + ... + 32294.

It is an arithmetic number, because the mean of its divisors is an integer number (7408359).

Almost surely, 2^135005664 is an apocalyptic number.

It is an amenable number.

135005664 is an abundant number, since it is smaller than the sum of its proper divisors (220595568).

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

135005664 is a wasteful number, since it uses less digits than its factorization.

135005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 135005664 is about 11619.1937758177. The cubic root of 135005664 is about 512.9999582018. Note that the first 4 decimals are identical.

The spelling of 135005664 in words is "one hundred thirty-five million, five thousand, six hundred sixty-four".