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134451400130000 = 245417790890589
BaseRepresentation
bin11110100100100001100111…
…111100011011110111010000
3122122001102120020200111121022
4132210201213330123313100
5120110322431413130000
61153542042011215012
740214536014415202
oct3644414774336720
9578042506614538
10134451400130000
1139927578261678
12130b56b9a47468
135a03935854655
14252b6a7d38772
1510825c96b0585
hex7a4867f1bdd0

134451400130000 has 100 divisors (see below), whose sum is σ = 344668537340820. Its totient is φ = 50616997632000.

The previous prime is 134451400129997. The next prime is 134451400130009. The reversal of 134451400130000 is 31004154431.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 36617699177536 + 97833700952464 = 6051256^2 + 9891092^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134451400130009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 395275295 + ... + 395615294.

Almost surely, 2134451400130000 is an apocalyptic number.

134451400130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134451400130000 is an abundant number, since it is smaller than the sum of its proper divisors (210217137210820).

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

134451400130000 is an equidigital number, since it uses as much as digits as its factorization.

134451400130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790890634 (or 790890613 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 134451400130000 its reverse (31004154431), we get a palindrome (134482404284431).

The spelling of 134451400130000 in words is "one hundred thirty-four trillion, four hundred fifty-one billion, four hundred million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 85000 170000 790890589 1581781178 3163562356 3954452945 6327124712 7908905890 12654249424 13445140013 15817811780 19772264725 26890280026 31635623560 39544529450 53780560052 63271247120 67225700065 79089058900 98861323625 107561120104 134451400130 158178117800 197722647250 215122240208 268902800260 316356235600 336128500325 395445294500 494306618125 537805600520 672257000650 790890589000 988613236250 1075611201040 1344514001300 1581781178000 1680642501625 1977226472500 2689028002600 3361285003250 3954452945000 5378056005200 6722570006500 7908905890000 8403212508125 13445140013000 16806425016250 26890280026000 33612850032500 67225700065000 134451400130000