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150534144 = 211328167
BaseRepresentation
bin10001111100011…
…11100000000000
3101111020221000200
420332033200000
5302014043034
622534245200
73505343025
oct1076174000
9344227020
10150534144
1177a77592
12424b6800
1325258077
1415dc754c
15d337a99
hex8f8f800

150534144 has 72 divisors (see below), whose sum is σ = 434823480. Its totient is φ = 50171904.

The previous prime is 150534121. The next prime is 150534161. The reversal of 150534144 is 441435051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 14349 + ... + 22515.

It is an arithmetic number, because the mean of its divisors is an integer number (6039215).

Almost surely, 2150534144 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 150534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217411740).

150534144 is an abundant number, since it is smaller than the sum of its proper divisors (284289336).

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

150534144 is an equidigital number, since it uses as much as digits as its factorization.

150534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8195 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 150534144 is about 12269.2356730157. The cubic root of 150534144 is about 531.9592182355.

Adding to 150534144 its reverse (441435051), we get a palindrome (591969195).

The spelling of 150534144 in words is "one hundred fifty million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 8167 9216 16334 18432 24501 32668 49002 65336 73503 98004 130672 147006 196008 261344 294012 392016 522688 588024 784032 1045376 1176048 1568064 2090752 2352096 3136128 4181504 4704192 6272256 8363008 9408384 12544512 16726016 18816768 25089024 37633536 50178048 75267072 150534144