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138308148 = 223411151257
BaseRepresentation
bin10000011111001…
…10101000110100
3100122020210010000
420033212220310
5240401330043
621420231300
73266412516
oct1017465064
9318223100
10138308148
1171086a60
123a39b530
1322867254
1414523bb6
15c2202d3
hex83e6a34

138308148 has 120 divisors (see below), whose sum is σ = 398591424. Its totient is φ = 41472000.

The previous prime is 138308147. The next prime is 138308153. The reversal of 138308148 is 841803831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138308147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 538036 + ... + 538292.

Almost surely, 2138308148 is an apocalyptic number.

138308148 is a gapful number since it is divisible by the number (18) 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 138308148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199295712).

138308148 is an abundant number, since it is smaller than the sum of its proper divisors (260283276).

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

138308148 is a wasteful number, since it uses less digits than its factorization.

138308148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 138308148 is about 11760.4484608369. The cubic root of 138308148 is about 517.1492771678.

The spelling of 138308148 in words is "one hundred thirty-eight million, three hundred eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 151 162 198 257 297 302 324 396 453 514 594 604 771 891 906 1028 1188 1359 1542 1661 1782 1812 2313 2718 2827 3084 3322 3564 4077 4626 4983 5436 5654 6644 6939 8154 8481 9252 9966 11308 12231 13878 14949 16308 16962 19932 20817 24462 25443 27756 29898 33924 38807 41634 44847 48924 50886 59796 76329 77614 83268 89694 101772 116421 134541 152658 155228 179388 228987 232842 269082 305316 349263 426877 457974 465684 538164 698526 853754 915948 1047789 1280631 1397052 1707508 2095578 2561262 3143367 3841893 4191156 5122524 6286734 7683786 11525679 12573468 15367572 23051358 34577037 46102716 69154074 138308148