136289664 has 96 divisors (see below), whose sum is σ = 448241040. Its totient is φ = 38937600.

The previous prime is 136289653. The next prime is 136289689. The reversal of 136289664 is 466982631.

136289664 is a `hidden beast` number, since 13 + 628 + 9 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387 + ... + 16514.

Almost surely, 2^136289664 is an apocalyptic number.

136289664 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 136289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224120520).

136289664 is an abundant number, since it is smaller than the sum of its proper divisors (311951376).

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

136289664 is a wasteful number, since it uses less digits than its factorization.

136289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16928 (or 16913 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 136289664 is about 11674.3164253844. The cubic root of 136289664 is about 514.6211610489.

The spelling of 136289664 in words is "one hundred thirty-six million, two hundred eighty-nine thousand, six hundred sixty-four".