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137289480 = 23352939451
BaseRepresentation
bin10000010111011…
…01111100001000
3100120100000202120
420023231330020
5240121230410
621342331240
73254640606
oct1013557410
9316300676
10137289480
1170550689
1239b89b20
132259b6a3
141433a876
15c0bd570
hex82edf08

137289480 has 64 divisors (see below), whose sum is σ = 426081600. Its totient is φ = 35347200.

The previous prime is 137289473. The next prime is 137289539. The reversal of 137289480 is 84982731.

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 15 ways as a sum of consecutive naturals, for example, 16246 + ... + 23205.

It is an arithmetic number, because the mean of its divisors is an integer number (6657525).

Almost surely, 2137289480 is an apocalyptic number.

137289480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137289480 is an abundant number, since it is smaller than the sum of its proper divisors (288792120).

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

137289480 is a wasteful number, since it uses less digits than its factorization.

137289480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39494 (or 39490 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 137289480 is about 11717.0593580471. The cubic root of 137289480 is about 515.8765103201.

The spelling of 137289480 in words is "one hundred thirty-seven million, two hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 39451 78902 118353 157804 197255 236706 315608 394510 473412 591765 789020 946824 1144079 1183530 1578040 2288158 2367060 3432237 4576316 4734120 5720395 6864474 9152632 11440790 13728948 17161185 22881580 27457896 34322370 45763160 68644740 137289480