136314880 has 88 divisors (see below), whose sum is σ = 352321452. Its totient is φ = 50331648.

The previous prime is 136314869. The next prime is 136314881. The reversal of 136314880 is 88413631.

It can be written as a sum of positive squares in 2 ways, for example, as 126877696 + 9437184 = 11264^2 + 3072^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (136314881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10485754 + ... + 10485766.

Almost surely, 2^136314880 is an apocalyptic number.

136314880 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 136314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176160726).

136314880 is an abundant number, since it is smaller than the sum of its proper divisors (216006572).

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

136314880 is an frugal number, since it uses more digits than its factorization.

136314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 136314880 is about 11675.3963530152. The cubic root of 136314880 is about 514.6528970994.

The spelling of 136314880 in words is "one hundred thirty-six million, three hundred fourteen thousand, eight hundred eighty".