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137381488 = 24174197127
BaseRepresentation
bin10000011000001…
…00011001110000
3100120111200222021
420030010121300
5240132201423
621344321224
73255503056
oct1014043160
9316450867
10137381488
1170603822
123a013214
132260152a
14143621d6
15c0da95d
hex8304670

137381488 has 80 divisors (see below), whose sum is σ = 293981184. Its totient is φ = 61931520.

The previous prime is 137381483. The next prime is 137381537. The reversal of 137381488 is 884183731.

137381488 is digitally balanced in base 3, 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 (137381483) 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, 1081681 + ... + 1081807.

Almost surely, 2137381488 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 137381488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146990592).

137381488 is an abundant number, since it is smaller than the sum of its proper divisors (156599696).

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

137381488 is a wasteful number, since it uses less digits than its factorization.

137381488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 137381488 is about 11720.9849415482. The cubic root of 137381488 is about 515.9917271273.

The spelling of 137381488 in words is "one hundred thirty-seven million, three hundred eighty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 17 34 41 68 82 97 127 136 164 194 254 272 328 388 508 656 697 776 1016 1394 1552 1649 2032 2159 2788 3298 3977 4318 5207 5576 6596 7954 8636 10414 11152 12319 13192 15908 17272 20828 24638 26384 31816 34544 41656 49276 63632 67609 83312 88519 98552 135218 177038 197104 209423 270436 354076 418846 505079 540872 708152 837692 1010158 1081744 1416304 1675384 2020316 3350768 4040632 8081264 8586343 17172686 34345372 68690744 137381488