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138132500 = 2254115023
BaseRepresentation
bin10000011101110…
…11110000010100
3100121220212011112
420032323300110
5240330220000
621412354152
73265051442
oct1016736024
9317825145
10138132500
1170a76aa0
123a315958
132280530c
14144b9b92
15c1d8235
hex83bbc14

138132500 has 60 divisors (see below), whose sum is σ = 329594496. Its totient is φ = 50220000.

The previous prime is 138132479. The next prime is 138132509. The reversal of 138132500 is 5231831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138132509) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 24989 + ... + 30011.

Almost surely, 2138132500 is an apocalyptic number.

138132500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164797248).

138132500 is an abundant number, since it is smaller than the sum of its proper divisors (191461996).

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

138132500 is a wasteful number, since it uses less digits than its factorization.

138132500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 138132500 is about 11752.9783459343. The cubic root of 138132500 is about 516.9302620724.

The spelling of 138132500 in words is "one hundred thirty-eight million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 625 1100 1250 1375 2500 2750 5023 5500 6875 10046 13750 20092 25115 27500 50230 55253 100460 110506 125575 221012 251150 276265 502300 552530 627875 1105060 1255750 1381325 2511500 2762650 3139375 5525300 6278750 6906625 12557500 13813250 27626500 34533125 69066250 138132500