Search a number
-
+
136745856 = 27321323397
BaseRepresentation
bin10000010011010…
…01001110000000
3100112022102001100
420021221032000
5240001331411
621322534400
73250214652
oct1011511600
9315272040
10136745856
117020a205
1239967400
132243b110
14142386d2
15c012456
hex8269380

136745856 has 192 divisors, whose sum is σ = 443308320. Its totient is φ = 40144896.

The previous prime is 136745849. The next prime is 136745899. The reversal of 136745856 is 658547631.

136745856 is a `hidden beast` number, since 1 + 3 + 67 + 4 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344250 + ... + 344646.

Almost surely, 2136745856 is an apocalyptic number.

136745856 is a gapful number since it is divisible by the number (16) 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 136745856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221654160).

136745856 is an abundant number, since it is smaller than the sum of its proper divisors (306562464).

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

136745856 is a wasteful number, since it uses less digits than its factorization.

136745856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 136745856 is about 11693.8383775388. The cubic root of 136745856 is about 515.1947056540.

The spelling of 136745856 in words is "one hundred thirty-six million, seven hundred forty-five thousand, eight hundred fifty-six".