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134153212144 = 2472199005989
BaseRepresentation
bin111110011110000100…
…1111001000011110000
3110211021100221021121211
41330330021321003300
54144221210242034
6141343520525504
712456304326400
oct1747411710360
9424240837554
10134153212144
1151991a99966
1221bbb780894
13c85c47b203
1466c8d02800
15375279ed64
hex1f3c2790f0

134153212144 has 60 divisors (see below), whose sum is σ = 318271686600. Its totient is φ = 54468215424.

The previous prime is 134153212139. The next prime is 134153212169. The reversal of 134153212144 is 441212351431.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 4488099 + ... + 4517890.

It is an arithmetic number, because the mean of its divisors is an integer number (5304528110).

Almost surely, 2134153212144 is an apocalyptic number.

134153212144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134153212144 is an abundant number, since it is smaller than the sum of its proper divisors (184118474456).

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

134153212144 is a wasteful number, since it uses less digits than its factorization.

134153212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006030 (or 9006017 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

Adding to 134153212144 its reverse (441212351431), we get a palindrome (575365563575).

The spelling of 134153212144 in words is "one hundred thirty-four billion, one hundred fifty-three million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 14896 9005989 18011978 36023956 63041923 72047912 126083846 144095824 171113791 252167692 342227582 441293461 504335384 684455164 882586922 1008670768 1197796537 1368910328 1765173844 2395593074 2737820656 3530347688 4791186148 7060695376 8384575759 9582372296 16769151518 19164744592 33538303036 67076606072 134153212144