Search a number
-
+
135512881 = 7216632
BaseRepresentation
bin10000001001111…
…00001100110001
3100102222202201121
420010330030301
5234142403011
621240302241
73233561200
oct1004741461
9312882647
10135512881
116a547919
1239471981
13220c8b4a
1413dd7237
15bd6be71
hex813c331

135512881 has 9 divisors (see below), whose sum is σ = 157732281. Its totient is φ = 116084052.

The previous prime is 135512857. The next prime is 135512917. The reversal of 135512881 is 188215531.

The square root of 135512881 is 11641.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 135512881 - 221 = 133415729 is a prime.

It is a super-2 number, since 2×1355128812 = 36727481833840322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135512381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80656 + ... + 82318.

It is an arithmetic number, because the mean of its divisors is an integer number (17525809).

Almost surely, 2135512881 is an apocalyptic number.

135512881 is the 11641-st square number.

135512881 is the 5821-st centered octagonal number.

It is an amenable number.

135512881 is a deficient number, since it is larger than the sum of its proper divisors (22219400).

135512881 is an frugal number, since it uses more digits than its factorization.

135512881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 1670 counting only the distinct ones).

The product of its digits is 9600, while the sum is 34.

The cubic root of 135512881 is about 513.6416031769.

The spelling of 135512881 in words is "one hundred thirty-five million, five hundred twelve thousand, eight hundred eighty-one".

Divisors: 1 7 49 1663 11641 81487 2765569 19358983 135512881