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148518900 = 22335267821
BaseRepresentation
bin10001101101000…
…11011111110100
3101100110112122000
420312203133310
5301010101100
622423135300
73452250465
oct1066433764
9340415560
10148518900
11769204a2
12418a4530
1324a00a0a
1415a20d6c
15d08a900
hex8da37f4

148518900 has 144 divisors (see below), whose sum is σ = 485177280. Its totient is φ = 38966400.

The previous prime is 148518899. The next prime is 148518911. The reversal of 148518900 is 9815841.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180490 + ... + 181310.

Almost surely, 2148518900 is an apocalyptic number.

148518900 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 148518900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242588640).

148518900 is an abundant number, since it is smaller than the sum of its proper divisors (336658380).

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

148518900 is a wasteful number, since it uses less digits than its factorization.

148518900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 148518900 is about 12186.8330586744. The cubic root of 148518900 is about 529.5747151989.

The spelling of 148518900 in words is "one hundred forty-eight million, five hundred eighteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 67 75 90 100 108 134 135 150 180 201 225 268 270 300 335 402 450 540 603 670 675 804 821 900 1005 1206 1340 1350 1642 1675 1809 2010 2412 2463 2700 3015 3284 3350 3618 4020 4105 4926 5025 6030 6700 7236 7389 8210 9045 9852 10050 12060 12315 14778 15075 16420 18090 20100 20525 22167 24630 29556 30150 36180 36945 41050 44334 45225 49260 55007 60300 61575 73890 82100 88668 90450 110014 110835 123150 147780 165021 180900 184725 220028 221670 246300 275035 330042 369450 443340 495063 550070 554175 660084 738900 825105 990126 1100140 1108350 1375175 1485189 1650210 1980252 2216700 2475315 2750350 2970378 3300420 4125525 4950630 5500700 5940756 7425945 8251050 9901260 12376575 14851890 16502100 24753150 29703780 37129725 49506300 74259450 148518900