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135360371952 = 243213711018421
BaseRepresentation
bin111111000010000011…
…0110101110011110000
3110221101111102100120100
41332010012311303300
54204204223400302
6142103402312400
712531233114631
oct1760406656360
9427344370510
10135360371952
11524514459a3
1222297ab8700
13c9c25ab560
1467a1377888
1537c3751d1c
hex1f841b5cf0

135360371952 has 120 divisors (see below), whose sum is σ = 413707458528. Its totient is φ = 41062694400.

The previous prime is 135360371933. The next prime is 135360371969. The reversal of 135360371952 is 259173063531.

135360371952 is a `hidden beast` number, since 1 + 35 + 3 + 603 + 7 + 1 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135360371898 and 135360371907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376299 + ... + 642122.

Almost surely, 2135360371952 is an apocalyptic number.

135360371952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135360371952 is an abundant number, since it is smaller than the sum of its proper divisors (278347086576).

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

135360371952 is a wasteful number, since it uses less digits than its factorization.

135360371952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018519 (or 1018510 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 135360371952 in words is "one hundred thirty-five billion, three hundred sixty million, three hundred seventy-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 71 72 78 104 117 142 144 156 208 213 234 284 312 426 468 568 624 639 852 923 936 1136 1278 1704 1846 1872 2556 2769 3408 3692 5112 5538 7384 8307 10224 11076 14768 16614 22152 33228 44304 66456 132912 1018421 2036842 3055263 4073684 6110526 8147368 9165789 12221052 13239473 16294736 18331578 24442104 26478946 36663156 39718419 48884208 52957892 72307891 73326312 79436838 105915784 119155257 144615782 146652624 158873676 211831568 216923673 238310514 289231564 317747352 433847346 476621028 578463128 635494704 650771019 867694692 940002583 953242056 1156926256 1301542038 1735389384 1880005166 1906484112 2603084076 2820007749 3470778768 3760010332 5206168152 5640015498 7520020664 8460023247 10412336304 11280030996 15040041328 16920046494 22560061992 33840092988 45120123984 67680185976 135360371952