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138149888 = 2181731
BaseRepresentation
bin10000011110000…
…00000000000000
3100121221202000112
420033000000000
5240331244023
621413010452
73265153232
oct1017000000
9317852015
10138149888
1170a89068
123a323a28
13228101c6
14144c2252
15c1dd478
hex83c0000

138149888 has 76 divisors (see below), whose sum is σ = 301989312. Its totient is φ = 62914560.

The previous prime is 138149831. The next prime is 138149909. The reversal of 138149888 is 888941831.

138149888 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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4456433 + ... + 4456463.

Almost surely, 2138149888 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 138149888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994656).

138149888 is an abundant number, since it is smaller than the sum of its proper divisors (163839424).

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

138149888 is an frugal number, since it uses more digits than its factorization.

138149888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 50 counting only the distinct ones).

The product of its digits is 442368, while the sum is 50.

The square root of 138149888 is about 11753.7180500470. The cubic root of 138149888 is about 516.9519514076.

The spelling of 138149888 in words is "one hundred thirty-eight million, one hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 512 527 544 992 1024 1054 1088 1984 2048 2108 2176 3968 4096 4216 4352 7936 8192 8432 8704 15872 16384 16864 17408 31744 32768 33728 34816 63488 65536 67456 69632 126976 131072 134912 139264 253952 262144 269824 278528 507904 539648 557056 1015808 1079296 1114112 2031616 2158592 2228224 4063232 4317184 4456448 8126464 8634368 17268736 34537472 69074944 138149888