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135737717476 = 2241244932
BaseRepresentation
bin111111001101010011…
…0010011001011100100
3110222100210110111022111
41332122212103023210
54210442323424401
6142205042210404
712543464363434
oct1763246231344
9428323414274
10135737717476
11526254481a9
1222382353a04
13ca5281a42a
1467d95222c4
1537e693ce51
hex1f9a9932e4

135737717476 has 27 divisors (see below), whose sum is σ = 243530200123. Its totient is φ = 66198783680.

The previous prime is 135737717393. The next prime is 135737717491. The reversal of 135737717476 is 674717737531.

The square root of 135737717476 is 368426.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3515304100 + 132222413376 = 59290^2 + 363624^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135737717476.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30208686 + ... + 30213178.

Almost surely, 2135737717476 is an apocalyptic number.

135737717476 is the 368426-th square number.

It is an amenable number.

135737717476 is a deficient number, since it is larger than the sum of its proper divisors (107792482647).

135737717476 is an frugal number, since it uses more digits than its factorization.

135737717476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9072 (or 4536 counting only the distinct ones).

The product of its digits is 18151560, while the sum is 58.

The spelling of 135737717476 in words is "one hundred thirty-five billion, seven hundred thirty-seven million, seven hundred seventeen thousand, four hundred seventy-six".

Divisors: 1 2 4 41 82 164 1681 3362 4493 6724 8986 17972 184213 368426 736852 7552733 15105466 20187049 30210932 40374098 80748196 827669009 1655338018 3310676036 33934429369 67868858738 135737717476