Search a number
-
+
135191592 = 23377727
BaseRepresentation
bin10000000111011…
…01110000101000
3100102101110000000
420003231300220
5234102112332
621225343000
73231052404
oct1003556050
9312343000
10135191592
116a348498
1239337a60
1322015833
1413d52104
15bd06b7c
hex80edc28

135191592 has 64 divisors (see below), whose sum is σ = 380217600. Its totient is φ = 45058032.

The previous prime is 135191557. The next prime is 135191621. The reversal of 135191592 is 295191531.

135191592 is a `hidden beast` number, since 13 + 51 + 9 + 1 + 592 = 666.

It is a super-4 number, since 4×1351915924 (a number of 34 digits) contains 4444 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13633 + ... + 21359.

It is an arithmetic number, because the mean of its divisors is an integer number (5940900).

Almost surely, 2135191592 is an apocalyptic number.

135191592 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 135191592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190108800).

135191592 is an abundant number, since it is smaller than the sum of its proper divisors (245026008).

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

135191592 is an frugal number, since it uses more digits than its factorization.

135191592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7732 counting only the distinct ones).

The product of its digits is 12150, while the sum is 36.

The square root of 135191592 is about 11627.1919223861. The cubic root of 135191592 is about 513.2353490761.

The spelling of 135191592 in words is "one hundred thirty-five million, one hundred ninety-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 7727 8748 15454 17496 23181 30908 46362 61816 69543 92724 139086 185448 208629 278172 417258 556344 625887 834516 1251774 1669032 1877661 2503548 3755322 5007096 5632983 7510644 11265966 15021288 16898949 22531932 33797898 45063864 67595796 135191592