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134254485504 = 21334202327
BaseRepresentation
bin111110100001000110…
…0001110000000000000
3110211112102111111120000
41331002030032000000
54144423122014004
6141401535320000
712461644204116
oct1750214160000
9424472444500
10134254485504
1151a34180057
1222029680000
13c877449489
1466d8545ab6
15375b606c39
hex1f4230e000

134254485504 has 140 divisors (see below), whose sum is σ = 401083494504. Its totient is φ = 44751273984.

The previous prime is 134254485479. The next prime is 134254485523. The reversal of 134254485504 is 405584452431.

134254485504 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 54 + 48 + 550 + 4 = 666.

It is a super-2 number, since 2×1342544855042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134254485504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 562389 + ... + 764715.

Almost surely, 2134254485504 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 134254485504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200541747252).

134254485504 is an abundant number, since it is smaller than the sum of its proper divisors (266829009000).

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

134254485504 is an frugal number, since it uses more digits than its factorization.

134254485504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202365 (or 202332 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 134254485504 in words is "one hundred thirty-four billion, two hundred fifty-four million, four hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 18432 20736 24576 27648 36864 41472 55296 73728 82944 110592 165888 202327 221184 331776 404654 606981 663552 809308 1213962 1618616 1820943 2427924 3237232 3641886 4855848 5462829 6474464 7283772 9711696 10925658 12948928 14567544 16388487 19423392 21851316 25897856 29135088 32776974 38846784 43702632 51795712 58270176 65553948 77693568 87405264 103591424 116540352 131107896 155387136 174810528 207182848 233080704 262215792 310774272 349621056 414365696 466161408 524431584 621548544 699242112 828731392 932322816 1048863168 1243097088 1398484224 1657462784 1864645632 2097726336 2486194176 2796968448 3729291264 4195452672 4972388352 5593936896 7458582528 8390905344 11187873792 14917165056 16781810688 22375747584 33563621376 44751495168 67127242752 134254485504