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148726144 = 2771271307
BaseRepresentation
bin10001101110101…
…10000110000000
3101100212001220201
420313112012000
5301033214034
622431414544
73454102630
oct1067260600
9340761821
10148726144
1176a52176
1241984454
1324a74148
1415a766c0
15d0cc014
hex8dd6180

148726144 has 64 divisors (see below), whose sum is σ = 341544960. Its totient is φ = 63189504.

The previous prime is 148726141. The next prime is 148726153. The reversal of 148726144 is 441627841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148726141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113139 + ... + 114445.

It is an arithmetic number, because the mean of its divisors is an integer number (5336640).

Almost surely, 2148726144 is an apocalyptic number.

148726144 is a gapful number since it is divisible by the number (14) 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 148726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170772480).

148726144 is an abundant number, since it is smaller than the sum of its proper divisors (192818816).

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

148726144 is a wasteful number, since it uses less digits than its factorization.

148726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1443 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 148726144 is about 12195.3328777857. The cubic root of 148726144 is about 529.8209244304.

The spelling of 148726144 in words is "one hundred forty-eight million, seven hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 224 254 448 508 889 896 1016 1307 1778 2032 2614 3556 4064 5228 7112 8128 9149 10456 14224 16256 18298 20912 28448 36596 41824 56896 73192 83648 113792 146384 165989 167296 292768 331978 585536 663956 1161923 1171072 1327912 2323846 2655824 4647692 5311648 9295384 10623296 18590768 21246592 37181536 74363072 148726144