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135554533520 = 2457739327553
BaseRepresentation
bin111111000111110101…
…1100000100010010000
3110221220000202210011112
41332033223200202100
54210103430033040
6142134540032452
712536111344430
oct1761753404220
9427800683145
10135554533520
11525410003aa
1222330b32728
13ca238a0263
1467bd07a2c0
1537d5806365
hex1f8fae0890

135554533520 has 80 divisors (see below), whose sum is σ = 360676260480. Its totient is φ = 46412808192.

The previous prime is 135554533427. The next prime is 135554533561. The reversal of 135554533520 is 25335455531.

135554533520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250064 + ... + 577616.

It is an arithmetic number, because the mean of its divisors is an integer number (4508453256).

Almost surely, 2135554533520 is an apocalyptic number.

135554533520 is a gapful number since it is divisible by the number (10) 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 135554533520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180338130240).

135554533520 is an abundant number, since it is smaller than the sum of its proper divisors (225121726960).

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

135554533520 is a wasteful number, since it uses less digits than its factorization.

135554533520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328312 (or 328306 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 41.

The spelling of 135554533520 in words is "one hundred thirty-five billion, five hundred fifty-four million, five hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 739 1478 2956 3695 5173 5912 7390 10346 11824 14780 20692 25865 29560 41384 51730 59120 82768 103460 206920 327553 413840 655106 1310212 1637765 2292871 2620424 3275530 4585742 5240848 6551060 9171484 11464355 13102120 18342968 22928710 26204240 36685936 45857420 91714840 183429680 242061667 484123334 968246668 1210308335 1694431669 1936493336 2420616670 3388863338 3872986672 4841233340 6777726676 8472158345 9682466680 13555453352 16944316690 19364933360 27110906704 33888633380 67777266760 135554533520