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135331424 = 2517476779
BaseRepresentation
bin10000001000011…
…11111001100000
3100102122112210222
420010033321200
5234121101144
621232342212
73232204154
oct1004177140
9312575728
10135331424
116a433558
12393a4968
1322064387
1413d8b064
15bd332ee
hex810fe60

135331424 has 96 divisors (see below), whose sum is σ = 296110080. Its totient is φ = 60622848.

The previous prime is 135331423. The next prime is 135331451. The reversal of 135331424 is 424133531.

It is a junction number, because it is equal to n+sod(n) for n = 135331393 and 135331402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135331423) 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 15 ways as a sum of consecutive naturals, for example, 1713017 + ... + 1713095.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2135331424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

135331424 is an abundant number, since it is smaller than the sum of its proper divisors (160778656).

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

135331424 is a wasteful number, since it uses less digits than its factorization.

135331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 135331424 is about 11633.2035140799. The cubic root of 135331424 is about 513.4122387655.

Adding to 135331424 its reverse (424133531), we get a palindrome (559464955).

The spelling of 135331424 in words is "one hundred thirty-five million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 47 67 68 79 94 134 136 158 188 268 272 316 376 536 544 632 752 799 1072 1139 1264 1343 1504 1598 2144 2278 2528 2686 3149 3196 3713 4556 5293 5372 6298 6392 7426 9112 10586 10744 12596 12784 14852 18224 21172 21488 25192 25568 29704 36448 42344 42976 50384 53533 59408 63121 84688 89981 100768 107066 118816 126242 169376 179962 214132 248771 252484 359924 428264 497542 504968 719848 856528 995084 1009936 1439696 1713056 1990168 2019872 2879392 3980336 4229107 7960672 8458214 16916428 33832856 67665712 135331424