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158338128 = 243132131149
BaseRepresentation
bin10010111000000…
…00110001010000
3102000221102002010
421130000301100
5311013310003
623413422520
73631565124
oct1134006120
9360842063
10158338128
1181417863
124503aa40
1326a5b200
1417059584
15dd7a003
hex9700c50

158338128 has 120 divisors (see below), whose sum is σ = 449301600. Its totient is φ = 48023040.

The previous prime is 158338121. The next prime is 158338151. The reversal of 158338128 is 821833851.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158338121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062598 + ... + 1062746.

It is an arithmetic number, because the mean of its divisors is an integer number (3744180).

Almost surely, 2158338128 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 158338128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224650800).

158338128 is an abundant number, since it is smaller than the sum of its proper divisors (290963472).

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

158338128 is a wasteful number, since it uses less digits than its factorization.

158338128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 158338128 is about 12583.2479114098. The cubic root of 158338128 is about 540.9973884980.

The spelling of 158338128 in words is "one hundred fifty-eight million, three hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 131 149 156 169 208 262 298 312 338 393 447 507 524 596 624 676 786 894 1014 1048 1192 1352 1572 1703 1788 1937 2028 2096 2384 2704 3144 3406 3576 3874 4056 5109 5811 6288 6812 7152 7748 8112 10218 11622 13624 15496 19519 20436 22139 23244 25181 27248 30992 39038 40872 44278 46488 50362 58557 66417 75543 78076 81744 88556 92976 100724 117114 132834 151086 156152 177112 201448 234228 253747 265668 302172 312304 354224 402896 468456 507494 531336 604344 761241 936912 1014988 1062672 1208688 1522482 2029976 3044964 3298711 4059952 6089928 6597422 9896133 12179856 13194844 19792266 26389688 39584532 52779376 79169064 158338128