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135093737747088 = 2432938150956577
BaseRepresentation
bin11110101101110111110110…
…001111111111001010010000
3122201022211112212020100101200
4132231313312033333022100
5120201333433330401323
61155153112323431200
740312125521160201
oct3655676617771220
9581284485210350
10135093737747088
113a054a2908755a
121319a0a3525500
135a4c39194a593
14255080100b5a8
151094171367443
hex7addf63ff290

135093737747088 has 30 divisors (see below), whose sum is σ = 378074835500934. Its totient is φ = 45031245915648.

The previous prime is 135093737747077. The next prime is 135093737747117. The reversal of 135093737747088 is 880747737390531.

135093737747088 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 9 + 3 + 7 + 3 + 77 + 470 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76978303017984 + 58115434729104 = 8773728^2 + 7623348^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 469075478145 + ... + 469075478432.

Almost surely, 2135093737747088 is an apocalyptic number.

135093737747088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135093737747088 is an abundant number, since it is smaller than the sum of its proper divisors (242981097753846).

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

135093737747088 is a wasteful number, since it uses less digits than its factorization.

135093737747088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938150956591 (or 938150956582 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 135093737747088 in words is "one hundred thirty-five trillion, ninety-three billion, seven hundred thirty-seven million, seven hundred forty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 938150956577 1876301913154 2814452869731 3752603826308 5628905739462 7505207652616 8443358609193 11257811478924 15010415305232 16886717218386 22515622957848 33773434436772 45031245915696 67546868873544 135093737747088