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148138368 = 273727873
BaseRepresentation
bin10001101010001…
…10100110000000
3101022202012122020
420311012212000
5300410411433
622411041440
73446104200
oct1065064600
9338665566
10148138368
1176690604
1241740280
13248c9751
1415962400
15d012cb3
hex8d46980

148138368 has 96 divisors (see below), whose sum is σ = 457794360. Its totient is φ = 42319872.

The previous prime is 148138283. The next prime is 148138369. The reversal of 148138368 is 863831841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148138369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14880 + ... + 22752.

Almost surely, 2148138368 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 148138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228897180).

148138368 is an abundant number, since it is smaller than the sum of its proper divisors (309655992).

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

148138368 is an equidigital number, since it uses as much as digits as its factorization.

148138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7904 (or 7885 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 148138368 is about 12171.2106217911. The cubic root of 148138368 is about 529.1220399701.

The spelling of 148138368 in words is "one hundred forty-eight million, one hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 7873 9408 15746 18816 23619 31492 47238 55111 62984 94476 110222 125968 165333 188952 220444 251936 330666 377904 385777 440888 503872 661332 755808 771554 881776 1007744 1157331 1322664 1511616 1543108 1763552 2314662 2645328 3023232 3086216 3527104 4629324 5290656 6172432 7054208 9258648 10581312 12344864 18517296 21162624 24689728 37034592 49379456 74069184 148138368