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148680144 = 2433344167
BaseRepresentation
bin10001101110010…
…10110111010000
3101100202201211000
420313022313100
5301030231034
622430422000
73453521544
oct1067126720
9340681730
10148680144
1176a20658
1241961900
1324a59222
1415a63a24
15d0bd599
hex8dcadd0

148680144 has 40 divisors (see below), whose sum is σ = 426768320. Its totient is φ = 49559904.

The previous prime is 148680143. The next prime is 148680151. The reversal of 148680144 is 441086841.

148680144 is digitally balanced in base 2, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 148680099 and 148680108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148680143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171652 + ... + 172515.

It is an arithmetic number, because the mean of its divisors is an integer number (10669208).

Almost surely, 2148680144 is an apocalyptic number.

It is an amenable number.

148680144 is an abundant number, since it is smaller than the sum of its proper divisors (278088176).

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

148680144 is a wasteful number, since it uses less digits than its factorization.

148680144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344184 (or 344172 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 148680144 is about 12193.4467645535. The cubic root of 148680144 is about 529.7662954437.

The spelling of 148680144 in words is "one hundred forty-eight million, six hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 344167 688334 1032501 1376668 2065002 2753336 3097503 4130004 5506672 6195006 8260008 9292509 12390012 16520016 18585018 24780024 37170036 49560048 74340072 148680144