Search a number
-
+
135343872 = 283461107
BaseRepresentation
bin10000001000100…
…10111100000000
3100102200011220000
420010102330000
5234122000442
621232520000
73232255356
oct1004227400
9312604800
10135343872
116a441944
12393b0000
1322069c41
1413d917d6
15bd36d4c
hex8112f00

135343872 has 180 divisors, whose sum is σ = 414020376. Its totient is φ = 43960320.

The previous prime is 135343849. The next prime is 135343877. The reversal of 135343872 is 278343531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135343877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1264843 + ... + 1264949.

Almost surely, 2135343872 is an apocalyptic number.

135343872 is a gapful number since it is divisible by the number (12) 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 135343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207010188).

135343872 is an abundant number, since it is smaller than the sum of its proper divisors (278676504).

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

135343872 is an equidigital number, since it uses as much as digits as its factorization.

135343872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 135343872 is about 11633.7385220745. The cubic root of 135343872 is about 513.4279797748.

The spelling of 135343872 in words is "one hundred thirty-five million, three hundred forty-three thousand, eight hundred seventy-two".