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148537368 = 23337313169
BaseRepresentation
bin10001101101010…
…00000000011000
3101100111110222000
420312220000120
5301011143433
622423401000
73452355360
oct1066500030
9340443860
10148537368
1176933361
12418b3160
1324a09245
1415a279a0
15d091113
hex8da8018

148537368 has 128 divisors (see below), whose sum is σ = 486912000. Its totient is φ = 41057280.

The previous prime is 148537357. The next prime is 148537369. The reversal of 148537368 is 863735841.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148537369) 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, 45288 + ... + 48456.

It is an arithmetic number, because the mean of its divisors is an integer number (3804000).

Almost surely, 2148537368 is an apocalyptic number.

148537368 is a gapful number since it is divisible by the number (18) 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 148537368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243456000).

148537368 is an abundant number, since it is smaller than the sum of its proper divisors (338374632).

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

148537368 is a wasteful number, since it uses less digits than its factorization.

148537368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3212 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 148537368 is about 12187.5907381238. The cubic root of 148537368 is about 529.5966647746.

The spelling of 148537368 in words is "one hundred forty-eight million, five hundred thirty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1512 1674 1736 1953 2232 2604 3169 3348 3906 5208 5859 6338 6696 7812 9507 11718 12676 15624 19014 22183 23436 25352 28521 38028 44366 46872 57042 66549 76056 85563 88732 98239 114084 133098 171126 177464 196478 199647 228168 266196 294717 342252 392956 399294 532392 589434 598941 684504 687673 785912 798588 884151 1178868 1197882 1375346 1597176 1768302 2063019 2357736 2395764 2652453 2750692 3536604 4126038 4791528 5304906 5501384 6189057 7073208 8252076 10609812 12378114 16504152 18567171 21219624 24756228 37134342 49512456 74268684 148537368