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155132120 = 235111337733
BaseRepresentation
bin10010011111100…
…10000011011000
3101210220112021002
421033302003120
5304203211440
623221004132
73562413143
oct1117620330
9353815232
10155132120
117a628070
1243b53648
13261a7b70
141686305a
15d945115
hex93f20d8

155132120 has 128 divisors (see below), whose sum is σ = 421727040. Its totient is φ = 50595840.

The previous prime is 155132077. The next prime is 155132129. The reversal of 155132120 is 21231551.

It is a happy number.

155132120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 155132092 and 155132101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155132129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211274 + ... + 212006.

Almost surely, 2155132120 is an apocalyptic number.

155132120 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 155132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210863520).

155132120 is an abundant number, since it is smaller than the sum of its proper divisors (266594920).

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

155132120 is a wasteful number, since it uses less digits than its factorization.

155132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 155132120 is about 12455.2045346514. The cubic root of 155132120 is about 537.3211173259.

Adding to 155132120 its reverse (21231551), we get a palindrome (176363671).

The spelling of 155132120 in words is "one hundred fifty-five million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 37 40 44 52 55 65 74 88 104 110 130 143 148 185 220 260 286 296 370 407 440 481 520 572 715 733 740 814 962 1144 1430 1466 1480 1628 1924 2035 2405 2860 2932 3256 3665 3848 4070 4810 5291 5720 5864 7330 8063 8140 9529 9620 10582 14660 16126 16280 19058 19240 21164 26455 27121 29320 32252 38116 40315 42328 47645 52910 54242 64504 76232 80630 95290 104819 105820 108484 135605 161260 190580 209638 211640 216968 271210 298331 322520 352573 381160 419276 524095 542420 596662 705146 838552 1048190 1084840 1193324 1410292 1491655 1762865 2096380 2386648 2820584 2983310 3525730 3878303 4192760 5966620 7051460 7756606 11933240 14102920 15513212 19391515 31026424 38783030 77566060 155132120