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134057960712 = 23341343136923
BaseRepresentation
bin111110011011001111…
…0100010010100001000
3110211000201201000020000
41330312132202110020
54144022314220322
6141330235203000
712454036602414
oct1746636422410
9424021630200
10134057960712
1151943251075
1221b938a6460
13c84580ac10
1466ba3c9d44
1537492373ac
hex1f367a2508

134057960712 has 160 divisors (see below), whose sum is σ = 405319178880. Its totient is φ = 41151784320.

The previous prime is 134057960683. The next prime is 134057960731. The reversal of 134057960712 is 217069750431.

134057960712 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 579 + 6 + 0 + 71 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3612283 + ... + 3649205.

It is an arithmetic number, because the mean of its divisors is an integer number (2533244868).

Almost surely, 2134057960712 is an apocalyptic number.

134057960712 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 134057960712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202659589440).

134057960712 is an abundant number, since it is smaller than the sum of its proper divisors (271261218168).

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

134057960712 is a wasteful number, since it uses less digits than its factorization.

134057960712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37385 (or 37372 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 134057960712 in words is "one hundred thirty-four billion, fifty-seven million, nine hundred sixty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 431 468 648 702 862 936 1053 1293 1404 1724 2106 2586 2808 3448 3879 4212 5172 5603 7758 8424 10344 11206 11637 15516 16809 22412 23274 31032 33618 34911 36923 44824 46548 50427 67236 69822 73846 93096 100854 110769 134472 139644 147692 151281 201708 221538 279288 295384 302562 332307 403416 443076 453843 479999 605124 664614 886152 907686 959998 996921 1210248 1329228 1439997 1815372 1919996 1993842 2658456 2879994 2990763 3630744 3839992 3987684 4319991 5759988 5981526 7975368 8639982 11519976 11963052 12959973 15913813 17279964 23926104 25919946 31827626 34559928 38879919 47741439 51839892 63655252 77759838 95482878 103679784 127310504 143224317 155519676 190965756 206879569 286448634 311039352 381931512 413759138 429672951 572897268 620638707 827518276 859345902 1145794536 1241277414 1289018853 1655036552 1718691804 1861916121 2482554828 2578037706 3437383608 3723832242 4965109656 5156075412 5585748363 7447664484 10312150824 11171496726 14895328968 16757245089 22342993452 33514490178 44685986904 67028980356 134057960712