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149132718 = 23373710663
BaseRepresentation
bin10001110001110…
…01010110101110
3101101121201122000
420320321112232
5301134221333
622444233130
73460415160
oct1070712656
9341551560
10149132718
11771aa689
1241b3b7a6
1324b87217
1415b40930
15d15c713
hex8e395ae

149132718 has 64 divisors (see below), whose sum is σ = 389022720. Its totient is φ = 41453856.

The previous prime is 149132701. The next prime is 149132749. The reversal of 149132718 is 817231941.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8655 + ... + 19317.

It is an arithmetic number, because the mean of its divisors is an integer number (6078480).

Almost surely, 2149132718 is an apocalyptic number.

149132718 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149132718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194511360).

149132718 is an abundant number, since it is smaller than the sum of its proper divisors (239890002).

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

149132718 is a wasteful number, since it uses less digits than its factorization.

149132718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10718 (or 10712 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 149132718 is about 12211.9907468029. The cubic root of 149132718 is about 530.3032772381.

The spelling of 149132718 in words is "one hundred forty-nine million, one hundred thirty-two thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 4662 6993 10663 13986 21326 31989 63978 74641 95967 149282 191934 223923 287901 394531 447846 575802 671769 789062 1183593 1343538 2015307 2367186 2761717 3550779 4030614 5523434 7101558 8285151 10652337 16570302 21304674 24855453 49710906 74566359 149132718