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137034270 = 232519127631
BaseRepresentation
bin10000010101011…
…11101000011110
3100112212001200100
420022233220132
5240040044040
621333041530
73252525552
oct1012575036
9315761610
10137034270
117039696a
1239a862a6
132250c489
14142b1862
15c06cb30
hex82afa1e

137034270 has 96 divisors (see below), whose sum is σ = 378593280. Its totient is φ = 34292160.

The previous prime is 137034239. The next prime is 137034277. The reversal of 137034270 is 72430731.

137034270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137034277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216855 + ... + 217485.

It is an arithmetic number, because the mean of its divisors is an integer number (3943680).

Almost surely, 2137034270 is an apocalyptic number.

137034270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137034270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189296640).

137034270 is an abundant number, since it is smaller than the sum of its proper divisors (241559010).

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

137034270 is a wasteful number, since it uses less digits than its factorization.

137034270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137034270 is about 11706.1637610278. The cubic root of 137034270 is about 515.5566545226.

The spelling of 137034270 in words is "one hundred thirty-seven million, thirty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 127 171 190 254 285 342 381 570 631 635 762 855 1143 1262 1270 1710 1893 1905 2286 2413 3155 3786 3810 4826 5679 5715 6310 7239 9465 11358 11430 11989 12065 14478 18930 21717 23978 24130 28395 35967 36195 43434 56790 59945 71934 72390 80137 107901 108585 119890 160274 179835 215802 217170 240411 359670 400685 480822 539505 721233 801370 1079010 1202055 1442466 1522603 2404110 3045206 3606165 4567809 7212330 7613015 9135618 13703427 15226030 22839045 27406854 45678090 68517135 137034270