136077040 has 80 divisors (see below), whose sum is σ = 347120640. Its totient is φ = 49199360.

The previous prime is 136077001. The next prime is 136077041. The reversal of 136077040 is 40770631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136077041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209997 + ... + 210643.

It is an arithmetic number, because the mean of its divisors is an integer number (4339008).

Almost surely, 2^136077040 is an apocalyptic number.

136077040 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 136077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320).

136077040 is an abundant number, since it is smaller than the sum of its proper divisors (211043600).

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

136077040 is a wasteful number, since it uses less digits than its factorization.

136077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 136077040 is about 11665.2063848009. The cubic root of 136077040 is about 514.3534034950.

It can be divided in two parts, 1360 and 77040, that added together give a square (78400 = 280²).

The spelling of 136077040 in words is "one hundred thirty-six million, seventy-seven thousand, forty".