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135462000324 = 223723101694207
BaseRepresentation
bin111111000101000101…
…0100001011011000100
3110221122120122121111010
41332022022201123010
54204411233002244
6142121432442220
712533606001360
oct1761212413304
9427576577433
10135462000324
11524a3849892
1222305b49370
13ca0a6722a1
1467b0a702a0
1537cc628eb9
hex1f8a2a16c4

135462000324 has 96 divisors (see below), whose sum is σ = 380670345216. Its totient is φ = 36654076800.

The previous prime is 135462000203. The next prime is 135462000361. The reversal of 135462000324 is 423000264531.

It is a super-2 number, since 2×1354620003242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135462000291 and 135462000300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151972 + ... + 542235.

It is an arithmetic number, because the mean of its divisors is an integer number (3965316096).

Almost surely, 2135462000324 is an apocalyptic number.

135462000324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135462000324 is an abundant number, since it is smaller than the sum of its proper divisors (245208344892).

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

135462000324 is a wasteful number, since it uses less digits than its factorization.

135462000324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694345 (or 694343 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 135462000324 its reverse (423000264531), we get a palindrome (558462264855).

The spelling of 135462000324 in words is "one hundred thirty-five billion, four hundred sixty-two million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 101 138 161 202 276 303 322 404 483 606 644 707 966 1212 1414 1932 2121 2323 2828 4242 4646 6969 8484 9292 13938 16261 27876 32522 48783 65044 97566 195132 694207 1388414 2082621 2776828 4165242 4859449 8330484 9718898 14578347 15966761 19437796 29156694 31933522 47900283 58313388 63867044 70114907 95800566 111767327 140229814 191601132 210344721 223534654 280459628 335301981 420689442 447069308 490804349 670603962 841378884 981608698 1341207924 1472413047 1612642861 1963217396 2944826094 3225285722 4837928583 5889652188 6450571444 9675857166 11288500027 19351714332 22577000054 33865500081 45154000108 67731000162 135462000324