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148083144 = 233114113681
BaseRepresentation
bin10001101001110…
…01000111001000
3101022122101212220
420310321013020
5300402130034
622405534040
73445454166
oct1064710710
9338571786
10148083144
1176653070
1241714320
13248aa581
141594a236
15d001749
hex8d391c8

148083144 has 64 divisors (see below), whose sum is σ = 413743680. Its totient is φ = 43776000.

The previous prime is 148083137. The next prime is 148083151. The reversal of 148083144 is 441380841.

It is an interprime number because it is at equal distance from previous prime (148083137) and next prime (148083151).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3984 + ... + 17664.

It is an arithmetic number, because the mean of its divisors is an integer number (6464745).

Almost surely, 2148083144 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 148083144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206871840).

148083144 is an abundant number, since it is smaller than the sum of its proper divisors (265660536).

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

148083144 is a wasteful number, since it uses less digits than its factorization.

148083144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13742 (or 13738 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 148083144 is about 12168.9417781498. The cubic root of 148083144 is about 529.0562819277.

The spelling of 148083144 in words is "one hundred forty-eight million, eighty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 13681 27362 41043 54724 82086 109448 150491 164172 300982 328344 451473 560921 601964 902946 1121842 1203928 1682763 1805892 2243684 3365526 3611784 4487368 6170131 6731052 12340262 13462104 18510393 24680524 37020786 49361048 74041572 148083144