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150136008 = 233115571021
BaseRepresentation
bin10001111001011…
…10010011001000
3101110111200212220
420330232103020
5301413323013
622521534040
73502064211
oct1074562310
9343450786
10150136008
1177825450
1242344320
1325148a99
1415d22408
15d2a9b23
hex8f2e4c8

150136008 has 64 divisors (see below), whose sum is σ = 410598720. Its totient is φ = 45369600.

The previous prime is 150136003. The next prime is 150136031. The reversal of 150136008 is 800631051.

It is a Cunningham number, because it is equal to 122532-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (150136003) 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 15 ways as a sum of consecutive naturals, for example, 146538 + ... + 147558.

It is an arithmetic number, because the mean of its divisors is an integer number (6415605).

Almost surely, 2150136008 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 150136008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205299360).

150136008 is an abundant number, since it is smaller than the sum of its proper divisors (260462712).

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

150136008 is a wasteful number, since it uses less digits than its factorization.

150136008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 150136008 is about 12252.9999591937. Note that the first 4 decimals coincide. The cubic root of 150136008 is about 531.4898250423.

Adding to 150136008 its reverse (800631051), we get a palindrome (950767059).

The spelling of 150136008 in words is "one hundred fifty million, one hundred thirty-six thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 557 1021 1114 1671 2042 2228 3063 3342 4084 4456 6126 6127 6684 8168 11231 12252 12254 13368 18381 22462 24504 24508 33693 36762 44924 49016 67386 73524 89848 134772 147048 269544 568697 1137394 1706091 2274788 3412182 4549576 6255667 6824364 12511334 13648728 18767001 25022668 37534002 50045336 75068004 150136008