136770144 has 96 divisors (see below), whose sum is σ = 428198400. Its totient is φ = 37373952.

The previous prime is 136770133. The next prime is 136770173. The reversal of 136770144 is 441077631.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11032 + ... + 19880.

It is an arithmetic number, because the mean of its divisors is an integer number (4460400).

Almost surely, 2^136770144 is an apocalyptic number.

136770144 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 136770144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214099200).

136770144 is an abundant number, since it is smaller than the sum of its proper divisors (291428256).

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

136770144 is a wasteful number, since it uses less digits than its factorization.

136770144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 136770144 is about 11694.8768270555. The cubic root of 136770144 is about 515.2252058061.

The spelling of 136770144 in words is "one hundred thirty-six million, seven hundred seventy thousand, one hundred forty-four".