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138095496 = 233371119223
BaseRepresentation
bin10000011101100…
…10101110001000
3100121211222102000
420032302232020
5240323023441
621411511000
73264535530
oct1016625610
9317758360
10138095496
1170a51210
123a2b8460
13227c1516
14144aa4c0
15c1cc2b6
hex83b2b88

138095496 has 384 divisors, whose sum is σ = 526694400. Its totient is φ = 32503680.

The previous prime is 138095449. The next prime is 138095533. The reversal of 138095496 is 694590831.

It is a happy number.

138095496 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6004141 + ... + 6004163.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2138095496 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 138095496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263347200).

138095496 is an abundant number, since it is smaller than the sum of its proper divisors (388598904).

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

138095496 is a wasteful number, since it uses less digits than its factorization.

138095496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 138095496 is about 11751.4040012247. The cubic root of 138095496 is about 516.8840981941.

The spelling of 138095496 in words is "one hundred thirty-eight million, ninety-five thousand, four hundred ninety-six".