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138548608 = 2711195179
BaseRepresentation
bin10000100001000…
…01010110000000
3100122200222221221
420100201112000
5240432023413
621425324424
73301433542
oct1020412600
9318628857
10138548608
1171230690
123a496714
132291c833
1414587692
15c26b68d
hex8421580

138548608 has 64 divisors (see below), whose sum is σ = 317016000. Its totient is φ = 59650560.

The previous prime is 138548603. The next prime is 138548611. The reversal of 138548608 is 806845831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138548603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24163 + ... + 29341.

It is an arithmetic number, because the mean of its divisors is an integer number (4953375).

Almost surely, 2138548608 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 138548608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158508000).

138548608 is an abundant number, since it is smaller than the sum of its proper divisors (178467392).

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

138548608 is a wasteful number, since it uses less digits than its factorization.

138548608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 138548608 is about 11770.6672708050. The cubic root of 138548608 is about 517.4488057209.

The spelling of 138548608 in words is "one hundred thirty-eight million, five hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1672 2432 3344 5179 6688 10358 13376 20716 26752 41432 56969 82864 98401 113938 165728 196802 227876 331456 393604 455752 662912 787208 911504 1082411 1574416 1823008 2164822 3148832 3646016 4329644 6297664 7292032 8659288 12595328 17318576 34637152 69274304 138548608