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150139008 = 27361609
BaseRepresentation
bin10001111001011…
…11000010000000
3101110111212000000
420330233002000
5301413422013
622522000000
73502106025
oct1074570200
9343455000
10150139008
1177827728
1242346000
132514a266
1415d2354c
15d2aa973
hex8f2f080

150139008 has 112 divisors (see below), whose sum is σ = 448731150. Its totient is φ = 50015232.

The previous prime is 150139001. The next prime is 150139037. The reversal of 150139008 is 800931051.

It can be written as a sum of positive squares in only one way, i.e., 86266944 + 63872064 = 9288^2 + 7992^2 .

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

It is not an unprimeable number, because it can be changed into a prime (150139001) 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 13 ways as a sum of consecutive naturals, for example, 92508 + ... + 94116.

Almost surely, 2150139008 is an apocalyptic number.

150139008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150139008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224365575).

150139008 is an abundant number, since it is smaller than the sum of its proper divisors (298592142).

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

150139008 is an frugal number, since it uses more digits than its factorization.

150139008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 150139008 is about 12253.1223775820. The cubic root of 150139008 is about 531.4933650744.

The spelling of 150139008 in words is "one hundred fifty million, one hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1609 1728 1944 2592 2916 3218 3456 3888 4827 5184 5832 6436 7776 9654 10368 11664 12872 14481 15552 19308 23328 25744 28962 31104 38616 43443 46656 51488 57924 77232 86886 93312 102976 115848 130329 154464 173772 205952 231696 260658 308928 347544 390987 463392 521316 617856 695088 781974 926784 1042632 1172961 1390176 1563948 1853568 2085264 2345922 2780352 3127896 4170528 4691844 5560704 6255792 8341056 9383688 12511584 16682112 18767376 25023168 37534752 50046336 75069504 150139008