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138601152 = 263380209
BaseRepresentation
bin10000100001011…
…10001011000000
3100122210200001000
420100232023000
5240440214102
621430412000
73302042664
oct1020561300
9318720030
10138601152
1171267108
123a501000
132293a721
141459c8a4
15c27c01c
hex842e2c0

138601152 has 56 divisors (see below), whose sum is σ = 407466800. Its totient is φ = 46199808.

The previous prime is 138601117. The next prime is 138601163. The reversal of 138601152 is 251106831.

138601152 is a `hidden beast` number, since 1 + 3 + 8 + 601 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38377 + ... + 41832.

Almost surely, 2138601152 is an apocalyptic number.

138601152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138601152 is an abundant number, since it is smaller than the sum of its proper divisors (268865648).

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

138601152 is an equidigital number, since it uses as much as digits as its factorization.

138601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80230 (or 80214 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 138601152 is about 11772.8990482379. The cubic root of 138601152 is about 517.5142109099.

Adding to 138601152 its reverse (251106831), we get a palindrome (389707983).

The spelling of 138601152 in words is "one hundred thirty-eight million, six hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 80209 160418 240627 320836 481254 641672 721881 962508 1283344 1443762 1925016 2165643 2566688 2887524 3850032 4331286 5133376 5775048 7700064 8662572 11550096 15400128 17325144 23100192 34650288 46200384 69300576 138601152