136166880 has 96 divisors (see below), whose sum is σ = 442810368. Its totient is φ = 35136000.

The previous prime is 136166879. The next prime is 136166881. The reversal of 136166880 is 88661631.

136166880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136166879) and next prime (136166881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136166881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10305 + ... + 19455.

It is an arithmetic number, because the mean of its divisors is an integer number (4612608).

Almost surely, 2^136166880 is an apocalyptic number.

136166880 is a gapful number since it is divisible by the number (10) 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 136166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221405184).

136166880 is an abundant number, since it is smaller than the sum of its proper divisors (306643488).

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

136166880 is a wasteful number, since it uses less digits than its factorization.

136166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9200 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 136166880 is about 11669.0565171311. The cubic root of 136166880 is about 514.4665730743.

The spelling of 136166880 in words is "one hundred thirty-six million, one hundred sixty-six thousand, eight hundred eighty".