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149173164 = 22347175373
BaseRepresentation
bin10001110010000…
…11001110101100
3101101200210010000
420321003032230
5301142020124
622445144300
73460644120
oct1071031654
9341623100
10149173164
1177228008
1241b5b090
1324b9c75a
1415b51580
15d1696c9
hex8e433ac

149173164 has 240 divisors, whose sum is σ = 487384128. Its totient is φ = 38817792.

The previous prime is 149173151. The next prime is 149173169. The reversal of 149173164 is 461371941.

149173164 is a `hidden beast` number, since 1 + 491 + 7 + 3 + 164 = 666.

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 not an unprimeable number, because it can be changed into a prime (149173169) 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 79 ways as a sum of consecutive naturals, for example, 2043432 + ... + 2043504.

Almost surely, 2149173164 is an apocalyptic number.

149173164 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 149173164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243692064).

149173164 is an abundant number, since it is smaller than the sum of its proper divisors (338210964).

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

149173164 is a wasteful number, since it uses less digits than its factorization.

149173164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 149173164 is about 12213.6466298972. The cubic root of 149173164 is about 530.3512137515.

It can be divided in two parts, 14917 and 3164, that added together give a palindrome (18081).

The spelling of 149173164 in words is "one hundred forty-nine million, one hundred seventy-three thousand, one hundred sixty-four".