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135143635050 = 232521517319793
BaseRepresentation
bin111110111011100110…
…0000011100001101010
3110220211101120222102200
41331313030003201222
54203233232310200
6142030101041030
712522661641624
oct1756714034152
9426741528380
10135143635050
1152350071296
12222373b6176
13c989714178
146780679c14
1537ae6dd800
hex1f7730386a

135143635050 has 72 divisors (see below), whose sum is σ = 363128174604. Its totient is φ = 36034106880.

The previous prime is 135143635021. The next prime is 135143635073. The reversal of 135143635050 is 50536341531.

135143635050 is a `hidden beast` number, since 1 + 3 + 5 + 14 + 3 + 635 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 102958198641 + 32185436409 = 320871^2 + 179403^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135143634996 and 135143635014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6817954 + ... + 6837746.

Almost surely, 2135143635050 is an apocalyptic number.

135143635050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135143635050 is an abundant number, since it is smaller than the sum of its proper divisors (227984539554).

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

135143635050 is a wasteful number, since it uses less digits than its factorization.

135143635050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34984 (or 34976 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 135143635050 its reverse (50536341531), we get a palindrome (185679976581).

The spelling of 135143635050 in words is "one hundred thirty-five billion, one hundred forty-three million, six hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 15173 19793 30346 39586 45519 59379 75865 91038 98965 118758 136557 151730 178137 197930 227595 273114 296895 356274 379325 455190 494825 593790 682785 758650 890685 989650 1137975 1365570 1484475 1781370 2275950 2968950 3413925 4453425 6827850 8906850 300319189 600638378 900957567 1501595945 1801915134 2702872701 3003191890 4504787835 5405745402 7507979725 9009575670 13514363505 15015959450 22523939175 27028727010 45047878350 67571817525 135143635050