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135874069321 = 172216832
BaseRepresentation
bin111111010001010111…
…0011100001101001001
3110222201022000212212211
41332202232130031021
54211232230204241
6142230352505121
712550041350614
oct1764256341511
9428638025784
10135874069321
1152695408381
12223bbb4b1a1
13ca74b4b0b3
14680d69717b
1538038c3781
hex1fa2b9c349

135874069321 has 9 divisors (see below), whose sum is σ = 144343471111. Its totient is φ = 127875579232.

The previous prime is 135874069319. The next prime is 135874069339. The reversal of 135874069321 is 123960478531.

The square root of 135874069321 is 368611.

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

It can be written as a sum of positive squares in only one way, i.e., 105784310025 + 30089759296 = 325245^2 + 173464^2 .

It is not a de Polignac number, because 135874069321 - 21 = 135874069319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135874069351) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6255546 + ... + 6277228.

It is a 1-persistent number, because it is pandigital, but 2⋅135874069321 = 271748138642 is not.

Almost surely, 2135874069321 is an apocalyptic number.

135874069321 is the 368611-st square number.

135874069321 is the 184306-th centered octagonal number.

It is an amenable number.

135874069321 is a deficient number, since it is larger than the sum of its proper divisors (8469401790).

135874069321 is an frugal number, since it uses more digits than its factorization.

135874069321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43400 (or 21700 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 135874069321 by its sum of digits (49), we get a square (6657829396729 = 25802772).

The spelling of 135874069321 in words is "one hundred thirty-five billion, eight hundred seventy-four million, sixty-nine thousand, three hundred twenty-one".

Divisors: 1 17 289 21683 368611 6266387 470152489 7992592313 135874069321