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136612554912 = 253533153077
BaseRepresentation
bin111111100111010111…
…1100010100010100000
3111001121202121211200000
41333032233202202200
54214240303224122
6142431533100000
712604246362051
oct1771657424240
9431552554600
10136612554912
1152a34253549
1222587327600
13cb61b43912
14687d7ac728
1538486490ac
hex1fcebe28a0

136612554912 has 144 divisors (see below), whose sum is σ = 404105319072. Its totient is φ = 45399087360.

The previous prime is 136612554899. The next prime is 136612554971. The reversal of 136612554912 is 219455216631.

It is a happy number.

136612554912 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 1 + 2 + 554 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2547318 + ... + 2600394.

It is an arithmetic number, because the mean of its divisors is an integer number (2806286938).

Almost surely, 2136612554912 is an apocalyptic number.

136612554912 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 136612554912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202052659536).

136612554912 is an abundant number, since it is smaller than the sum of its proper divisors (267492764160).

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

136612554912 is an equidigital number, since it uses as much as digits as its factorization.

136612554912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53433 (or 53413 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 136612554912 in words is "one hundred thirty-six billion, six hundred twelve million, five hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 331 432 486 648 662 864 972 993 1296 1324 1944 1986 2592 2648 2979 3888 3972 5296 5958 7776 7944 8937 10592 11916 15888 17874 23832 26811 31776 35748 47664 53077 53622 71496 80433 95328 106154 107244 142992 159231 160866 212308 214488 285984 318462 321732 424616 428976 477693 636924 643464 849232 857952 955386 1273848 1286928 1433079 1698464 1910772 2547696 2573856 2866158 3821544 4299237 5095392 5732316 7643088 8598474 11464632 12897711 15286176 17196948 17568487 22929264 25795422 34393896 35136974 45858528 51590844 52705461 68787792 70273948 103181688 105410922 137575584 140547896 158116383 206363376 210821844 281095792 316232766 412726752 421643688 474349149 562191584 632465532 843287376 948698298 1264931064 1423047447 1686574752 1897396596 2529862128 2846094894 3794793192 4269142341 5059724256 5692189788 7589586384 8538284682 11384379576 15179172768 17076569364 22768759152 34153138728 45537518304 68306277456 136612554912