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138356196 = 223118911777
BaseRepresentation
bin10000011111100…
…10010111100100
3100122100020000120
420033302113210
5240404344241
621421241540
73300002556
oct1017622744
9318306016
10138356196
117110a070
123a4032b0
1322883094
14145374d6
15c22e666
hex83f25e4

138356196 has 48 divisors (see below), whose sum is σ = 356166720. Its totient is φ = 41451520.

The previous prime is 138356189. The next prime is 138356261. The reversal of 138356196 is 691653831.

It is a happy number.

138356196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5860 + ... + 17636.

It is an arithmetic number, because the mean of its divisors is an integer number (7420140).

Almost surely, 2138356196 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 138356196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178083360).

138356196 is an abundant number, since it is smaller than the sum of its proper divisors (217810524).

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

138356196 is a wasteful number, since it uses less digits than its factorization.

138356196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11884 (or 11882 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 138356196 is about 11762.4910626959. The cubic root of 138356196 is about 517.2091558083.

The spelling of 138356196 in words is "one hundred thirty-eight million, three hundred fifty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 979 1068 1958 2937 3916 5874 11748 11777 23554 35331 47108 70662 129547 141324 259094 388641 518188 777282 1048153 1554564 2096306 3144459 4192612 6288918 11529683 12577836 23059366 34589049 46118732 69178098 138356196