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152135340 = 223572315749
BaseRepresentation
bin10010001000101…
…10011010101100
3101121021021110020
421010112122230
5302421312330
623032442140
73525062160
oct1104263254
9347237406
10152135340
1178970595
1242b49350
1325698b16
14162c2ca0
15d552210
hex91166ac

152135340 has 96 divisors (see below), whose sum is σ = 508032000. Its totient is φ = 33259776.

The previous prime is 152135339. The next prime is 152135341. The reversal of 152135340 is 43531251.

It is an interprime number because it is at equal distance from previous prime (152135339) and next prime (152135341).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 152135340.

It is not an unprimeable number, because it can be changed into a prime (152135341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1786 + ... + 17534.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2152135340 is an apocalyptic number.

152135340 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 152135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

152135340 is an abundant number, since it is smaller than the sum of its proper divisors (355896660).

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

152135340 is a wasteful number, since it uses less digits than its factorization.

152135340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15791 (or 15789 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 152135340 is about 12334.3155464744. The cubic root of 152135340 is about 533.8386781417.

Adding to 152135340 its reverse (43531251), we get a palindrome (195666591).

The spelling of 152135340 in words is "one hundred fifty-two million, one hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 15749 31498 47247 62996 78745 94494 110243 157490 188988 220486 236235 314980 330729 362227 440972 472470 551215 661458 724454 944940 1086681 1102430 1322916 1448908 1653645 1811135 2173362 2204860 2535589 3307290 3622270 4346724 5071178 5433405 6614580 7244540 7606767 10142356 10866810 12677945 15213534 21733620 25355890 30427068 38033835 50711780 76067670 152135340