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150129108 = 2232171912911
BaseRepresentation
bin10001111001011…
…00100111010100
3101110111100102100
420330230213110
5301413112413
622521442100
73502035123
oct1074544724
9343440370
10150129108
1177820248
1242340330
13251458bc
1415d1daba
15d2a7a73
hex8f2c9d4

150129108 has 72 divisors (see below), whose sum is σ = 422997120. Its totient is φ = 44616960.

The previous prime is 150129107. The next prime is 150129137. The reversal of 150129108 is 801921051.

150129108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150129107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5173 + ... + 18083.

It is an arithmetic number, because the mean of its divisors is an integer number (5874960).

Almost surely, 2150129108 is an apocalyptic number.

150129108 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 150129108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211498560).

150129108 is an abundant number, since it is smaller than the sum of its proper divisors (272868012).

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

150129108 is a wasteful number, since it uses less digits than its factorization.

150129108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957 (or 12952 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 150129108 is about 12252.7183922589. The cubic root of 150129108 is about 531.4816827896.

The spelling of 150129108 in words is "one hundred fifty million, one hundred twenty-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 11628 12911 25822 38733 51644 77466 116199 154932 219487 232398 245309 438974 464796 490618 658461 735927 877948 981236 1316922 1471854 1975383 2207781 2633844 2943708 3950766 4170253 4415562 7901532 8340506 8831124 12510759 16681012 25021518 37532277 50043036 75064554 150129108