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155133120 = 2635533049
BaseRepresentation
bin10010011111100…
…10010011000000
3101210220120122010
421033302103000
5304203224440
623221012520
73562416102
oct1117622300
9353816563
10155133120
117a62889a
1243b54140
13261a845c
1416863572
15d945580
hex93f24c0

155133120 has 112 divisors (see below), whose sum is σ = 502005600. Its totient is φ = 40574976.

The previous prime is 155133101. The next prime is 155133149. The reversal of 155133120 is 21331551.

155133120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49356 + ... + 52404.

Almost surely, 2155133120 is an apocalyptic number.

155133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251002800).

155133120 is an abundant number, since it is smaller than the sum of its proper divisors (346872480).

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

155133120 is a wasteful number, since it uses less digits than its factorization.

155133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 155133120 is about 12455.2446784477. The cubic root of 155133120 is about 537.3222718686.

Adding to 155133120 its reverse (21331551), we get a palindrome (176464671).

The spelling of 155133120 in words is "one hundred fifty-five million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1272 1590 1696 2120 2544 3049 3180 3392 4240 5088 6098 6360 8480 9147 10176 12196 12720 15245 16960 18294 24392 25440 30490 36588 45735 48784 50880 60980 73176 91470 97568 121960 146352 161597 182940 195136 243920 292704 323194 365880 484791 487840 585408 646388 731760 807985 969582 975680 1292776 1463520 1615970 1939164 2423955 2585552 2927040 3231940 3878328 4847910 5171104 6463880 7756656 9695820 10342208 12927760 15513312 19391640 25855520 31026624 38783280 51711040 77566560 155133120