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134226640152 = 233211198919899
BaseRepresentation
bin111110100000010000…
…1111111110100011000
3110211110111002210220200
41331000201333310120
54144344004441102
6141355102422200
712461155421253
oct1750041776430
9424414083820
10134226640152
1151a1a491470
1222020291960
13c87174a137
1466d497809a
153758e5651c
hex1f4087fd18

134226640152 has 96 divisors (see below), whose sum is σ = 417451320000. Its totient is φ = 38533959360.

The previous prime is 134226640111. The next prime is 134226640169. The reversal of 134226640152 is 251046622431.

134226640152 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 2 + 6 + 640 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4444902 + ... + 4474997.

It is an arithmetic number, because the mean of its divisors is an integer number (4348451250).

Almost surely, 2134226640152 is an apocalyptic number.

134226640152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134226640152 is an abundant number, since it is smaller than the sum of its proper divisors (283224679848).

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

134226640152 is a wasteful number, since it uses less digits than its factorization.

134226640152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8919941 (or 8919934 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 134226640152 in words is "one hundred thirty-four billion, two hundred twenty-six million, six hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 15048 8919899 17839798 26759697 35679596 53519394 71359192 80279091 98118889 107038788 160558182 169478081 196237778 214077576 294356667 321116364 338956162 392475556 508434243 588713334 642232728 677912324 784951112 883070001 1016868486 1177426668 1355824648 1525302729 1766140002 1864258891 2033736972 2354853336 3050605458 3532280004 3728517782 4067473944 5592776673 6101210916 7064560008 7457035564 11185553346 12202421832 14914071128 16778330019 22371106692 33556660038 44742213384 67113320076 134226640152