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148942144 = 2613296173
BaseRepresentation
bin10001110000010…
…10110101000000
3101101021001012201
420320022311000
5301112122034
622440202544
73455662441
oct1070126500
9341231181
10148942144
117708a48a
1241a69454
1324b1b560
1415ad12c8
15d121014
hex8e0ad40

148942144 has 56 divisors (see below), whose sum is σ = 329321160. Its totient is φ = 66361344.

The previous prime is 148942127. The next prime is 148942163. The reversal of 148942144 is 441249841.

It can be written as a sum of positive squares in 4 ways, for example, as 2822400 + 146119744 = 1680^2 + 12088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21042 + ... + 27214.

It is an arithmetic number, because the mean of its divisors is an integer number (5880735).

Almost surely, 2148942144 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 148942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164660580).

148942144 is an abundant number, since it is smaller than the sum of its proper divisors (180379016).

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

148942144 is a wasteful number, since it uses less digits than its factorization.

148942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6217 counting only the distinct ones).

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

The square root of 148942144 is about 12204.1855115366. The cubic root of 148942144 is about 530.0772926316.

The spelling of 148942144 in words is "one hundred forty-eight million, nine hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 1508 1856 3016 6032 6173 12064 12346 24128 24692 49384 80249 98768 160498 179017 197536 320996 358034 395072 641992 716068 1283984 1432136 2327221 2567968 2864272 4654442 5135936 5728544 9308884 11457088 18617768 37235536 74471072 148942144