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148506000 = 2435353467
BaseRepresentation
bin10001101101000…
…00010110010000
3101100102212221020
420312200112100
5301004143000
622422555440
73452165046
oct1066402620
9340385836
10148506000
1176911835
1241898b80
13249c7b96
1415a1a396
15d086ba0
hex8da0590

148506000 has 160 divisors (see below), whose sum is σ = 488861568. Its totient is φ = 38771200.

The previous prime is 148505953. The next prime is 148506037. The reversal of 148506000 is 605841.

148506000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317767 + ... + 318233.

Almost surely, 2148506000 is an apocalyptic number.

148506000 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 148506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244430784).

148506000 is an abundant number, since it is smaller than the sum of its proper divisors (340355568).

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

148506000 is a wasteful number, since it uses less digits than its factorization.

148506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 148506000 is about 12186.3037874493. The cubic root of 148506000 is about 529.5593822197.

The spelling of 148506000 in words is "one hundred forty-eight million, five hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 53 60 75 80 100 106 120 125 150 159 200 212 240 250 265 300 318 375 400 424 467 500 530 600 636 750 795 848 934 1000 1060 1200 1272 1325 1401 1500 1590 1868 2000 2120 2335 2544 2650 2802 3000 3180 3736 3975 4240 4670 5300 5604 6000 6360 6625 7005 7472 7950 9340 10600 11208 11675 12720 13250 14010 15900 18680 19875 21200 22416 23350 24751 26500 28020 31800 35025 37360 39750 46700 49502 53000 56040 58375 63600 70050 74253 79500 93400 99004 106000 112080 116750 123755 140100 148506 159000 175125 186800 198008 233500 247510 280200 297012 318000 350250 371265 396016 467000 495020 560400 594024 618775 700500 742530 934000 990040 1188048 1237550 1401000 1485060 1856325 1980080 2475100 2802000 2970120 3093875 3712650 4950200 5940240 6187750 7425300 9281625 9900400 12375500 14850600 18563250 24751000 29701200 37126500 49502000 74253000 148506000