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136913280 = 2735761167
BaseRepresentation
bin10000010100100…
…10000110000000
3100112121220201020
420022102012000
5240022211110
621330305440
73251513040
oct1012220600
9315556636
10136913280
1170313a79
1239a28280
132249939a
141427d720
15c046d70
hex8292180

136913280 has 256 divisors, whose sum is σ = 509967360. Its totient is φ = 30597120.

The previous prime is 136913261. The next prime is 136913281. The reversal of 136913280 is 82319631.

136913280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136913281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819757 + ... + 819923.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2136913280 is an apocalyptic number.

136913280 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 136913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680).

136913280 is an abundant number, since it is smaller than the sum of its proper divisors (373054080).

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

136913280 is a wasteful number, since it uses less digits than its factorization.

136913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 136913280 is about 11700.9948295006. The cubic root of 136913280 is about 515.4048784580.

The spelling of 136913280 in words is "one hundred thirty-six million, nine hundred thirteen thousand, two hundred eighty".