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138245888 = 281124463
BaseRepresentation
bin10000011110101…
…11011100000000
3100122010121201002
420033113130000
5240342332023
621415031132
73266033144
oct1017273400
9318117632
10138245888
1171044200
123a36b4a8
1322844b01
1414509224
15c20bb28
hex83d7700

138245888 has 54 divisors (see below), whose sum is σ = 303386832. Its totient is φ = 62824960.

The previous prime is 138245869. The next prime is 138245959. The reversal of 138245888 is 888542831.

It is a super-2 number, since 2×1382458882 = 38223851097817088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28745 + ... + 33207.

Almost surely, 2138245888 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 138245888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151693416).

138245888 is an abundant number, since it is smaller than the sum of its proper divisors (165140944).

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

138245888 is an equidigital number, since it uses as much as digits as its factorization.

138245888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501 (or 4476 counting only the distinct ones).

The product of its digits is 491520, while the sum is 47.

The square root of 138245888 is about 11757.8011549779. The cubic root of 138245888 is about 517.0716665402.

The spelling of 138245888 in words is "one hundred thirty-eight million, two hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 4463 7744 8926 15488 17852 30976 35704 49093 71408 98186 142816 196372 285632 392744 540023 571264 785488 1080046 1142528 1570976 2160092 3141952 4320184 6283904 8640368 12567808 17280736 34561472 69122944 138245888