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148874112 = 273483173
BaseRepresentation
bin10001101111110…
…10001110000000
3101101010120220000
420313322032000
5301102432422
622434520000
73455260212
oct1067721600
9341116800
10148874112
1177043362
1241a36000
1324ac65ba
1415ab45b2
15d10acac
hex8dfa380

148874112 has 160 divisors (see below), whose sum is σ = 450976680. Its totient is φ = 48743424.

The previous prime is 148874111. The next prime is 148874113. The reversal of 148874112 is 211478841.

It is an interprime number because it is at equal distance from previous prime (148874111) and next prime (148874113).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148874111) 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 19 ways as a sum of consecutive naturals, for example, 860458 + ... + 860630.

Almost surely, 2148874112 is an apocalyptic number.

148874112 is a gapful number since it is divisible by the number (12) 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 148874112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225488340).

148874112 is an abundant number, since it is smaller than the sum of its proper divisors (302102568).

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

148874112 is an equidigital number, since it uses as much as digits as its factorization.

148874112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 148874112 is about 12201.3979526938. The cubic root of 148874112 is about 529.9965728982.

The spelling of 148874112 in words is "one hundred forty-eight million, eight hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 83 96 108 128 144 162 166 173 192 216 249 288 324 332 346 384 432 498 519 576 648 664 692 747 864 996 1038 1152 1296 1328 1384 1494 1557 1728 1992 2076 2241 2592 2656 2768 2988 3114 3456 3984 4152 4482 4671 5184 5312 5536 5976 6228 6723 7968 8304 8964 9342 10368 10624 11072 11952 12456 13446 14013 14359 15936 16608 17928 18684 22144 23904 24912 26892 28026 28718 31872 33216 35856 37368 43077 47808 49824 53784 56052 57436 66432 71712 74736 86154 95616 99648 107568 112104 114872 129231 143424 149472 172308 199296 215136 224208 229744 258462 286848 298944 344616 387693 430272 448416 459488 516924 597888 689232 775386 860544 896832 918976 1033848 1163079 1378464 1550772 1793664 1837952 2067696 2326158 2756928 3101544 4135392 4652316 5513856 6203088 8270784 9304632 12406176 16541568 18609264 24812352 37218528 49624704 74437056 148874112