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134478562152 = 2331117175317093
BaseRepresentation
bin111110100111110001…
…1000000001101101000
3110212010001010202221010
41331033203000031220
54200403002442102
6141440102143520
712500334626604
oct1751743001550
9425101122833
10134478562152
1152039708170
1222090721ba0
13c8b19b35cc
14671a1d4504
153771119d6c
hex1f4f8c0368

134478562152 has 128 divisors (see below), whose sum is σ = 388578072960. Its totient is φ = 38329835520.

The previous prime is 134478562151. The next prime is 134478562181. The reversal of 134478562152 is 251265874431.

It is a super-2 number, since 2×1344785621522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134478562151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7858918 + ... + 7876010.

It is an arithmetic number, because the mean of its divisors is an integer number (3035766195).

Almost surely, 2134478562152 is an apocalyptic number.

134478562152 is a gapful number since it is divisible by the number (12) 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 134478562152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194289036480).

134478562152 is an abundant number, since it is smaller than the sum of its proper divisors (254099510808).

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

134478562152 is a wasteful number, since it uses less digits than its factorization.

134478562152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18883 (or 18879 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 134478562152 in words is "one hundred thirty-four billion, four hundred seventy-eight million, five hundred sixty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 1753 2244 3506 4488 5259 7012 10518 14024 17093 19283 21036 29801 34186 38566 42072 51279 57849 59602 68372 77132 89403 102558 115698 119204 136744 154264 178806 188023 205116 231396 238408 290581 327811 357612 376046 410232 462792 564069 581162 655622 715224 752092 871743 983433 1128138 1162324 1311244 1504184 1743486 1966866 2256276 2324648 2622488 3196391 3486972 3933732 4512552 6392782 6973944 7867464 9589173 12785564 19178346 25571128 29964029 38356692 59928058 76713384 89892087 119856116 179784174 239712232 329604319 359568348 509388493 659208638 719136696 988812957 1018776986 1318417276 1528165479 1977625914 2037553972 2636834552 3056330958 3955251828 4075107944 5603273423 6112661916 7910503656 11206546846 12225323832 16809820269 22413093692 33619640538 44826187384 67239281076 134478562152