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137269000 = 23531112479
BaseRepresentation
bin10000010111010…
…00111100001000
3100120021222200001
420023220330020
5240120102000
621342052344
73254524111
oct1013507410
9316258601
10137269000
1170537260
1239b7a0b4
132259227b
1414333208
15c0b746a
hex82e8f08

137269000 has 64 divisors (see below), whose sum is σ = 350438400. Its totient is φ = 49912000.

The previous prime is 137268979. The next prime is 137269019. The reversal of 137269000 is 962731.

It is a super-2 number, since 2×1372690002 = 37685556722000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137269000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4761 + ... + 17239.

It is an arithmetic number, because the mean of its divisors is an integer number (5475600).

Almost surely, 2137269000 is an apocalyptic number.

137269000 is a gapful number since it is divisible by the number (10) 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 137269000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175219200).

137269000 is an abundant number, since it is smaller than the sum of its proper divisors (213169400).

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

137269000 is a wasteful number, since it uses less digits than its factorization.

137269000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12511 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 137269000 is about 11716.1853860376. The cubic root of 137269000 is about 515.8508572831.

The spelling of 137269000 in words is "one hundred thirty-seven million, two hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 12479 24958 49916 62395 99832 124790 137269 249580 274538 311975 499160 549076 623950 686345 1098152 1247900 1372690 1559875 2495800 2745380 3119750 3431725 5490760 6239500 6863450 12479000 13726900 17158625 27453800 34317250 68634500 137269000