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134076892288 = 2710911638263
BaseRepresentation
bin111110011011110011…
…0110000010010000000
3110211002001022211110111
41330313212300102000
54144042141023123
6141332153041104
712454356531463
oct1746746602200
9424061284414
10134076892288
1151952a016a9
1221b9a0b6194
13c849708c31
1466bcb172da
15374ac2690d
hex1f379b0480

134076892288 has 64 divisors (see below), whose sum is σ = 269821252800. Its totient is φ = 66358268928.

The previous prime is 134076892253. The next prime is 134076892307. The reversal of 134076892288 is 882298670431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1340768922882 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 16222045 + ... + 16230307.

It is an arithmetic number, because the mean of its divisors is an integer number (4215957075).

Almost surely, 2134076892288 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 134076892288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134910626400).

134076892288 is an abundant number, since it is smaller than the sum of its proper divisors (135744360512).

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

134076892288 is a wasteful number, since it uses less digits than its factorization.

134076892288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9549 (or 9537 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 134076892288 in words is "one hundred thirty-four billion, seventy-six million, eight hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1163 1744 2326 3488 4652 6976 8263 9304 13952 16526 18608 33052 37216 66104 74432 126767 132208 148864 253534 264416 507068 528832 900667 1014136 1057664 1801334 2028272 3602668 4056544 7205336 8113088 9609869 14410672 16226176 19219738 28821344 38439476 57642688 76878952 115285376 153757904 307515808 615031616 1047475721 1230063232 2094951442 4189902884 8379805768 16759611536 33519223072 67038446144 134076892288