Search a number
-
+
135489888 = 2533156817
BaseRepresentation
bin10000001001101…
…10100101100000
3100102221121012000
420010312211200
5234141134023
621240004000
73233434152
oct1004664540
9312847160
10135489888
116a531616
1239460600
13220bb541
1413dccad2
15bd65243
hex8136960

135489888 has 48 divisors (see below), whose sum is σ = 395181360. Its totient is φ = 45163008.

The previous prime is 135489883. The next prime is 135489917. The reversal of 135489888 is 888984531.

135489888 is a `hidden beast` number, since 1 + 3 + 548 + 98 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135489883) 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, 77545 + ... + 79272.

It is an arithmetic number, because the mean of its divisors is an integer number (8232945).

Almost surely, 2135489888 is an apocalyptic number.

135489888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135489888 is an abundant number, since it is smaller than the sum of its proper divisors (259691472).

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

135489888 is a wasteful number, since it uses less digits than its factorization.

135489888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156836 (or 156822 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 135489888 is about 11640.0123711274. The cubic root of 135489888 is about 513.6125510078.

It can be divided in two parts, 13548 and 9888, that added together give a triangular number (23436 = T216).

The spelling of 135489888 in words is "one hundred thirty-five million, four hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 156817 313634 470451 627268 940902 1254536 1411353 1881804 2509072 2822706 3763608 4234059 5018144 5645412 7527216 8468118 11290824 15054432 16936236 22581648 33872472 45163296 67744944 135489888