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137081328 = 2434760763
BaseRepresentation
bin10000010101110…
…11000111110000
3100112221110020020
420022323013300
5240043100303
621334043440
73253113006
oct1012730760
9315843206
10137081328
117041925a
1239aa9580
1322527a17
14142c4a76
15c07ba53
hex82bb1f0

137081328 has 40 divisors (see below), whose sum is σ = 361667328. Its totient is φ = 44720832.

The previous prime is 137081293. The next prime is 137081359. The reversal of 137081328 is 823180731.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 28126 + ... + 32637.

Almost surely, 2137081328 is an apocalyptic number.

It is an amenable number.

137081328 is an abundant number, since it is smaller than the sum of its proper divisors (224586000).

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

137081328 is a wasteful number, since it uses less digits than its factorization.

137081328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60821 (or 60815 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 137081328 is about 11708.1735552562. The cubic root of 137081328 is about 515.6156623617.

The spelling of 137081328 in words is "one hundred thirty-seven million, eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 60763 121526 182289 243052 364578 486104 729156 972208 1458312 2855861 2916624 5711722 8567583 11423444 17135166 22846888 34270332 45693776 68540664 137081328