Search a number
-
+
137428152 = 23353108041
BaseRepresentation
bin10000011000011…
…11110010111000
3100120121001222120
420030033302320
5240140200102
621345321240
73256056111
oct1014176270
9316531876
10137428152
1170635894
123a036220
1322619844
1414375208
15c0e96bc
hex830fcb8

137428152 has 32 divisors (see below), whose sum is σ = 350056080. Its totient is φ = 44944640.

The previous prime is 137428139. The next prime is 137428171. The reversal of 137428152 is 251824731.

137428152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 52749 + ... + 55292.

Almost surely, 2137428152 is an apocalyptic number.

137428152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137428152 is an abundant number, since it is smaller than the sum of its proper divisors (212627928).

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

137428152 is a wasteful number, since it uses less digits than its factorization.

137428152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108103 (or 108099 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 137428152 is about 11722.9753902326. The cubic root of 137428152 is about 516.0501423540.

The spelling of 137428152 in words is "one hundred thirty-seven million, four hundred twenty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 108041 216082 324123 432164 648246 864328 1296492 2592984 5726173 11452346 17178519 22904692 34357038 45809384 68714076 137428152