136188864 has 224 divisors, whose sum is σ = 466547200. Its totient is φ = 38631168.

The previous prime is 136188847. The next prime is 136188883. The reversal of 136188864 is 468881631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×136188864² = 37094813355220992, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 979707 + ... + 979845.

It is an arithmetic number, because the mean of its divisors is an integer number (2082800).

Almost surely, 2^136188864 is an apocalyptic number.

136188864 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 136188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233273600).

136188864 is an abundant number, since it is smaller than the sum of its proper divisors (330358336).

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

136188864 is an frugal number, since it uses more digits than its factorization.

136188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 136188864 is about 11669.9984575834. The cubic root of 136188864 is about 514.4942582807.

The spelling of 136188864 in words is "one hundred thirty-six million, one hundred eighty-eight thousand, eight hundred sixty-four".