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148331664 = 243213175979
BaseRepresentation
bin10001101011101…
…01110010010000
3101100010000210100
420311311302100
5300433103124
622415132400
73450540555
oct1065656220
9340100710
10148331664
1176802858
1241814100
1324966720
14159b2a2c
15d0501c9
hex8d75c90

148331664 has 240 divisors, whose sum is σ = 487468800. Its totient is φ = 41693184.

The previous prime is 148331663. The next prime is 148331699. The reversal of 148331664 is 466133841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148331663) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1877577 + ... + 1877655.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2148331664 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 148331664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

148331664 is an abundant number, since it is smaller than the sum of its proper divisors (339137136).

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

148331664 is a wasteful number, since it uses less digits than its factorization.

148331664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 148331664 is about 12179.1487387255. The cubic root of 148331664 is about 529.3520787789.

The spelling of 148331664 in words is "one hundred forty-eight million, three hundred thirty-one thousand, six hundred sixty-four".