135227664 has 240 divisors, whose sum is σ = 461776000. Its totient is φ = 37635840.

The previous prime is 135227663. The next prime is 135227669. The reversal of 135227664 is 466722531.

135227664 is a `hidden beast` number, since 1 + 3 + 522 + 76 + 64 = 666.

It is a super-2 number, since 2×135227664² = 36573042221793792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (135227663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679437 + ... + 679635.

Almost surely, 2^135227664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135227664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230888000).

135227664 is an abundant number, since it is smaller than the sum of its proper divisors (326548336).

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

135227664 is a wasteful number, since it uses less digits than its factorization.

135227664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 135227664 is about 11628.7430103172. The cubic root of 135227664 is about 513.2809923958.

The spelling of 135227664 in words is "one hundred thirty-five million, two hundred twenty-seven thousand, six hundred sixty-four".