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148284136 = 237111318517
BaseRepresentation
bin10001101011010…
…10001011101000
3101100000121121001
420311222023220
5300430043021
622414124344
73450252160
oct1065521350
9340017531
10148284136
1176780080
12417b06b4
132494abc0
141599d5a0
15d041091
hex8d6a2e8

148284136 has 64 divisors (see below), whose sum is σ = 373322880. Its totient is φ = 53326080.

The previous prime is 148284119. The next prime is 148284173. The reversal of 148284136 is 631482841.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 148284095 and 148284104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1251 + ... + 17266.

It is an arithmetic number, because the mean of its divisors is an integer number (5833170).

Almost surely, 2148284136 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 148284136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186661440).

148284136 is an abundant number, since it is smaller than the sum of its proper divisors (225038744).

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

148284136 is a wasteful number, since it uses less digits than its factorization.

148284136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18554 (or 18550 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 148284136 is about 12177.1973787075. The cubic root of 148284136 is about 529.2955349218.

The spelling of 148284136 in words is "one hundred forty-eight million, two hundred eighty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 18517 37034 74068 129619 148136 203687 240721 259238 407374 481442 518476 814748 962884 1036952 1425809 1629496 1685047 1925768 2647931 2851618 3370094 5295862 5703236 6740188 10591724 11406472 13480376 18535517 21183448 37071034 74142068 148284136