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137209296 = 2437408361
BaseRepresentation
bin10000010110110…
…10010111010000
3100120011221202210
420023122113100
5240111144141
621340512120
73254155050
oct1013322720
9316157683
10137209296
11704a6414
1239b4b640
1322571043
1414319560
15c0a4916
hex82da5d0

137209296 has 40 divisors (see below), whose sum is σ = 405095104. Its totient is φ = 39202560.

The previous prime is 137209271. The next prime is 137209307. The reversal of 137209296 is 692902731.

137209296 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203845 + ... + 204516.

Almost surely, 2137209296 is an apocalyptic number.

137209296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137209296 is an abundant number, since it is smaller than the sum of its proper divisors (267885808).

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

137209296 is a wasteful number, since it uses less digits than its factorization.

137209296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408379 (or 408373 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 137209296 is about 11713.6371806540. The cubic root of 137209296 is about 515.7760581033.

The spelling of 137209296 in words is "one hundred thirty-seven million, two hundred nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 408361 816722 1225083 1633444 2450166 2858527 3266888 4900332 5717054 6533776 8575581 9800664 11434108 17151162 19601328 22868216 34302324 45736432 68604648 137209296