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138121896 = 233112918041
BaseRepresentation
bin10000011101110…
…01001010101000
3100121220022121210
420032321022220
5240324400041
621412233120
73265005513
oct1016711250
9317808553
10138121896
1170a6a030
123a30b7a0
1322800543
14144b5d7a
15c1d5016
hex83b92a8

138121896 has 64 divisors (see below), whose sum is σ = 389707200. Its totient is φ = 40409600.

The previous prime is 138121883. The next prime is 138121903. The reversal of 138121896 is 698121831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365 + ... + 16676.

It is an arithmetic number, because the mean of its divisors is an integer number (6089175).

Almost surely, 2138121896 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 138121896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194853600).

138121896 is an abundant number, since it is smaller than the sum of its proper divisors (251585304).

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

138121896 is a wasteful number, since it uses less digits than its factorization.

138121896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18090 (or 18086 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 138121896 is about 11752.5272175818. The cubic root of 138121896 is about 516.9170340275.

The spelling of 138121896 in words is "one hundred thirty-eight million, one hundred twenty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 18041 36082 54123 72164 108246 144328 198451 216492 396902 432984 523189 595353 793804 1046378 1190706 1569567 1587608 2092756 2381412 3139134 4185512 4762824 5755079 6278268 11510158 12556536 17265237 23020316 34530474 46040632 69060948 138121896