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149367168 = 27321729263
BaseRepresentation
bin10001110011100…
…10100110000000
3101102001122020100
420321302212000
5301214222133
622453242400
73462412536
oct1071624600
9342048210
10149367168
117734a845
1242033400
1324c39b52
1415ba2156
15d1a6e13
hex8e72980

149367168 has 192 divisors, whose sum is σ = 472586400. Its totient is φ = 45072384.

The previous prime is 149367161. The next prime is 149367181. The reversal of 149367168 is 861763941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149367161) 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 23 ways as a sum of consecutive naturals, for example, 567805 + ... + 568067.

Almost surely, 2149367168 is an apocalyptic number.

149367168 is a gapful number since it is divisible by the number (18) 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 149367168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236293200).

149367168 is an abundant number, since it is smaller than the sum of its proper divisors (323219232).

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

149367168 is a wasteful number, since it uses less digits than its factorization.

149367168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 149367168 is about 12221.5861491052. The cubic root of 149367168 is about 530.5810265016.

The spelling of 149367168 in words is "one hundred forty-nine million, three hundred sixty-seven thousand, one hundred sixty-eight".