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138175296 = 2637219773
BaseRepresentation
bin10000011110001…
…10001101000000
3100122000000212120
420033012031000
5240333102141
621413324240
73265320300
oct1017061500
9318000776
10138175296
1170aa6166
123a336680
132281b93c
14144cb600
15c1e5c66
hex83c6340

138175296 has 168 divisors, whose sum is σ = 448238880. Its totient is φ = 37352448.

The previous prime is 138175223. The next prime is 138175319. The reversal of 138175296 is 692571831.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178366 + ... + 179138.

Almost surely, 2138175296 is an apocalyptic number.

138175296 is a gapful number since it is divisible by the number (16) 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 138175296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224119440).

138175296 is an abundant number, since it is smaller than the sum of its proper divisors (310063584).

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

138175296 is a wasteful number, since it uses less digits than its factorization.

138175296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 804 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 138175296 is about 11754.7988498315. The cubic root of 138175296 is about 516.9836414081.

The spelling of 138175296 in words is "one hundred thirty-eight million, one hundred seventy-five thousand, two hundred ninety-six".