135015664 has 80 divisors (see below), whose sum is σ = 317249536. Its totient is φ = 54432000.

The previous prime is 135015613. The next prime is 135015697. The reversal of 135015664 is 466510531.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127939 + ... + 128989.

Almost surely, 2^135015664 is an apocalyptic number.

135015664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135015664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158624768).

135015664 is an abundant number, since it is smaller than the sum of its proper divisors (182233872).

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

135015664 is a wasteful number, since it uses less digits than its factorization.

135015664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 135015664 is about 11619.6240903052. The cubic root of 135015664 is about 513.0126240233.

The spelling of 135015664 in words is "one hundred thirty-five million, fifteen thousand, six hundred sixty-four".