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135951872 = 29725419
BaseRepresentation
bin10000001101001…
…11011000000000
3100110211001220112
420012213120000
5234300424442
621253530452
73240400100
oct1006473000
9313731815
10135951872
116a817721
1239643a28
13222208c4
14140ad200
15be07082
hex81a7600

135951872 has 60 divisors (see below), whose sum is σ = 316045620. Its totient is φ = 58254336.

The previous prime is 135951857. The next prime is 135951887. The reversal of 135951872 is 278159531.

It is an interprime number because it is at equal distance from previous prime (135951857) and next prime (135951887).

It is a congruent number.

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, 22379 + ... + 27797.

It is an arithmetic number, because the mean of its divisors is an integer number (5267427).

Almost surely, 2135951872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158022810).

135951872 is an abundant number, since it is smaller than the sum of its proper divisors (180093748).

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

135951872 is an frugal number, since it uses more digits than its factorization.

135951872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451 (or 5428 counting only the distinct ones).

The product of its digits is 75600, while the sum is 41.

The square root of 135951872 is about 11659.8401361254. The cubic root of 135951872 is about 514.1956488959.

The spelling of 135951872 in words is "one hundred thirty-five million, nine hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 5419 6272 10838 12544 21676 25088 37933 43352 75866 86704 151732 173408 265531 303464 346816 531062 606928 693632 1062124 1213856 1387264 2124248 2427712 2774528 4248496 4855424 8496992 9710848 16993984 19421696 33987968 67975936 135951872