Search a number
-
+
135160400 = 2452337901
BaseRepresentation
bin10000000111001…
…10001001010000
3100102022212012202
420003212021100
5234100113100
621224542332
73230562434
oct1003461120
9312285182
10135160400
116a327011
12393219a8
132200458b
1413d449c4
15bcec7d5
hex80e6250

135160400 has 30 divisors (see below), whose sum is σ = 324723822. Its totient is φ = 54064000.

The previous prime is 135160379. The next prime is 135160427. The reversal of 135160400 is 4061531.

It can be written as a sum of positive squares in 3 ways, for example, as 414736 + 134745664 = 644^2 + 11608^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168551 + ... + 169350.

Almost surely, 2135160400 is an apocalyptic number.

135160400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135160400 is an abundant number, since it is smaller than the sum of its proper divisors (189563422).

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

135160400 is a wasteful number, since it uses less digits than its factorization.

135160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337919 (or 337908 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 135160400 is about 11625.8505065221. The cubic root of 135160400 is about 513.1958740660.

The spelling of 135160400 in words is "one hundred thirty-five million, one hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 337901 675802 1351604 1689505 2703208 3379010 5406416 6758020 8447525 13516040 16895050 27032080 33790100 67580200 135160400