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137079808 = 210263509
BaseRepresentation
bin10000010101110…
…10110000000000
3100112221101010221
420022322300000
5240043023213
621334032424
73253105405
oct1012726000
9315841127
10137079808
11704180a8
1239aa8714
1322527118
14142c42ac
15c07b38d
hex82bac00

137079808 has 44 divisors (see below), whose sum is σ = 275608080. Its totient is φ = 68145152.

The previous prime is 137079797. The next prime is 137079809. The reversal of 137079808 is 808970731.

It is a super-2 number, since 2×1370798082 = 37581747522633728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137079809) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 269058 + ... + 269566.

It is an arithmetic number, because the mean of its divisors is an integer number (6263820).

Almost surely, 2137079808 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 137079808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137804040).

137079808 is an abundant number, since it is smaller than the sum of its proper divisors (138528272).

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

137079808 is an equidigital number, since it uses as much as digits as its factorization.

137079808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 137079808 is about 11708.1086431584. The cubic root of 137079808 is about 515.6137565862.

The spelling of 137079808 in words is "one hundred thirty-seven million, seventy-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 263 509 512 526 1018 1024 1052 2036 2104 4072 4208 8144 8416 16288 16832 32576 33664 65152 67328 130304 133867 134656 260608 267734 269312 521216 535468 1070936 2141872 4283744 8567488 17134976 34269952 68539904 137079808