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138533346 = 232747149157
BaseRepresentation
bin10000100000111…
…01100111100010
3100122200020000200
420100131213202
5240431031341
621425130030
73301341210
oct1020354742
9318606020
10138533346
1171220176
123a489916
13229158c3
1414581cb0
15c266db6
hex841d9e2

138533346 has 96 divisors (see below), whose sum is σ = 354931200. Its totient is φ = 38233728.

The previous prime is 138533309. The next prime is 138533359. The reversal of 138533346 is 643335831.

It is a self number, because there is not a number n which added to its sum of digits gives 138533346.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882300 + ... + 882456.

It is an arithmetic number, because the mean of its divisors is an integer number (3697200).

Almost surely, 2138533346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138533346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177465600).

138533346 is an abundant number, since it is smaller than the sum of its proper divisors (216397854).

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

138533346 is a wasteful number, since it uses less digits than its factorization.

138533346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 365 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 138533346 is about 11770.0189464588. The cubic root of 138533346 is about 517.4298049437.

The spelling of 138533346 in words is "one hundred thirty-eight million, five hundred thirty-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 149 157 282 298 314 329 423 447 471 658 846 894 942 987 1043 1099 1341 1413 1974 2086 2198 2682 2826 2961 3129 3297 5922 6258 6594 7003 7379 9387 9891 14006 14758 18774 19782 21009 22137 23393 42018 44274 46786 49021 51653 63027 66411 70179 98042 103306 126054 132822 140358 147063 154959 163751 210537 294126 309918 327502 421074 441189 464877 491253 882378 929754 982506 1099471 1473759 2198942 2947518 3298413 6596826 7696297 9895239 15392594 19790478 23088891 46177782 69266673 138533346