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137282490 = 23259411621
BaseRepresentation
bin10000010111011…
…00001110111010
3100120022200011200
420023230032322
5240121014430
621342235030
73254611332
oct1013541672
9316280150
10137282490
1170546404
1239b85a76
1322598457
14143380c2
15c0bb460
hex82ec3ba

137282490 has 48 divisors (see below), whose sum is σ = 357534216. Its totient is φ = 36547200.

The previous prime is 137282489. The next prime is 137282501. The reversal of 137282490 is 94282731.

137282490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 128119761 + 9162729 = 11319^2 + 3027^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83880 + ... + 85500.

Almost surely, 2137282490 is an apocalyptic number.

137282490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137282490 is an abundant number, since it is smaller than the sum of its proper divisors (220251726).

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

137282490 is a wasteful number, since it uses less digits than its factorization.

137282490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137282490 is about 11716.7610712176. The cubic root of 137282490 is about 515.8677550049.

The spelling of 137282490 in words is "one hundred thirty-seven million, two hundred eighty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 941 1621 1882 2823 3242 4705 4863 5646 8105 8469 9410 9726 14115 14589 16210 16938 24315 28230 29178 42345 48630 72945 84690 145890 1525361 3050722 4576083 7626805 9152166 13728249 15253610 22880415 27456498 45760830 68641245 137282490