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136816480 = 2551994297
BaseRepresentation
bin10000010011110…
…10011101100000
3100112102222221001
420021322131200
5240011111410
621324241344
73250630603
oct1011723540
9315388831
10136816480
1170258279
12399a0254
13224642c8
141425633a
15c02833a
hex827a760

136816480 has 48 divisors (see below), whose sum is σ = 324928800. Its totient is φ = 54438912.

The previous prime is 136816451. The next prime is 136816481. The reversal of 136816480 is 84618631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136816481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29692 + ... + 33988.

It is an arithmetic number, because the mean of its divisors is an integer number (6769350).

Almost surely, 2136816480 is an apocalyptic number.

136816480 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 136816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162464400).

136816480 is an abundant number, since it is smaller than the sum of its proper divisors (188112320).

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

136816480 is a wasteful number, since it uses less digits than its factorization.

136816480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 136816480 is about 11696.8576976896. The cubic root of 136816480 is about 515.2833831708.

The spelling of 136816480 in words is "one hundred thirty-six million, eight hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 199 398 796 995 1592 1990 3184 3980 4297 6368 7960 8594 15920 17188 21485 31840 34376 42970 68752 85940 137504 171880 343760 687520 855103 1710206 3420412 4275515 6840824 8551030 13681648 17102060 27363296 34204120 68408240 136816480