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134651354232 = 233173129633593
BaseRepresentation
bin111110101100111011…
…0001001110001111000
3110212120002021112002210
41331121312021301320
54201231221313412
6141505153455120
712504533424603
oct1753166116170
9425502245083
10134651354232
11521181a743a
122211a5714a0
13c90b732745
14673513333a
15378139c83c
hex1f59d89c78

134651354232 has 128 divisors (see below), whose sum is σ = 368154408960. Its totient is φ = 40855695360.

The previous prime is 134651354209. The next prime is 134651354251. The reversal of 134651354232 is 232453156431.

134651354232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37474228 + ... + 37477820.

It is an arithmetic number, because the mean of its divisors is an integer number (2876206320).

Almost surely, 2134651354232 is an apocalyptic number.

134651354232 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 134651354232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184077204480).

134651354232 is an abundant number, since it is smaller than the sum of its proper divisors (233503054728).

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

134651354232 is a wasteful number, since it uses less digits than its factorization.

134651354232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6609 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The spelling of 134651354232 in words is "one hundred thirty-four billion, six hundred fifty-one million, three hundred fifty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 2963 3162 3593 4216 5926 6324 7186 8889 10779 11852 12648 14372 17778 21558 23704 28744 35556 43116 50371 61081 71112 86232 91853 100742 111383 122162 151113 183243 183706 201484 222766 244324 275559 302226 334149 366486 367412 402968 445532 488648 551118 604452 668298 732972 734824 891064 1102236 1208904 1336596 1465944 1561501 1893511 2204472 2673192 3123002 3787022 4684503 5680533 6246004 7574044 9369006 10646059 11361066 12492008 15148088 18738012 21292118 22722132 31938177 37476024 42584236 45444264 63876354 85168472 127752708 180983003 255505416 330027829 361966006 542949009 660055658 723932012 990083487 1085898018 1320111316 1447864024 1980166974 2171796036 2640222632 3960333948 4343592072 5610473093 7920667896 11220946186 16831419279 22441892372 33662838558 44883784744 67325677116 134651354232