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137142228 = 22319837247
BaseRepresentation
bin10000010110010…
…01111111010100
3100120001112202210
420023021333110
5240102022403
621335233420
73253455366
oct1013117724
9316045683
10137142228
117045aa93
1239b18870
1322549662
14142dcd36
15c08eb03
hex82c9fd4

137142228 has 48 divisors (see below), whose sum is σ = 340945920. Its totient is φ = 42780384.

The previous prime is 137142227. The next prime is 137142259. The reversal of 137142228 is 822241731.

137142228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137142195 and 137142204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137142223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15301 + ... + 22547.

It is an arithmetic number, because the mean of its divisors is an integer number (7103040).

Almost surely, 2137142228 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 137142228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170472960).

137142228 is an abundant number, since it is smaller than the sum of its proper divisors (203803692).

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

137142228 is a wasteful number, since it uses less digits than its factorization.

137142228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7354 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 137142228 is about 11710.7740137021. The cubic root of 137142228 is about 515.6920071743.

Adding to 137142228 its reverse (822241731), we get a palindrome (959383959).

The spelling of 137142228 in words is "one hundred thirty-seven million, one hundred forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 996 1577 3154 4731 6308 7247 9462 14494 18924 21741 28988 43482 86964 137693 275386 413079 550772 601501 826158 1203002 1652316 1804503 2406004 3609006 7218012 11428519 22857038 34285557 45714076 68571114 137142228