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152138508 = 223176711131
BaseRepresentation
bin10010001000101…
…11001100001100
3101121021102210120
421010113030030
5302421413013
623032504540
73525104334
oct1104271414
9347242716
10152138508
1178972a05
1242b4b150
132569a3b2
14162c40c4
15d553123
hex911730c

152138508 has 48 divisors (see below), whose sum is σ = 381515904. Its totient is φ = 47013120.

The previous prime is 152138501. The next prime is 152138509. The reversal of 152138508 is 805831251.

It is a happy number.

It is a super-2 number, since 2×1521385082 = 46292251232932128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (152138501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8103 + ... + 19233.

It is an arithmetic number, because the mean of its divisors is an integer number (7948248).

Almost surely, 2152138508 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 152138508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190757952).

152138508 is an abundant number, since it is smaller than the sum of its proper divisors (229377396).

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

152138508 is a wasteful number, since it uses less digits than its factorization.

152138508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 152138508 is about 12334.4439680109. The cubic root of 152138508 is about 533.8423835907.

Adding to 152138508 its reverse (805831251), we get a palindrome (957969759).

The spelling of 152138508 in words is "one hundred fifty-two million, one hundred thirty-eight thousand, five hundred eight".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 804 1139 2278 3417 4556 6834 11131 13668 22262 33393 44524 66786 133572 189227 378454 567681 745777 756908 1135362 1491554 2237331 2270724 2983108 4474662 8949324 12678209 25356418 38034627 50712836 76069254 152138508