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150131136 = 2634991567
BaseRepresentation
bin10001111001011…
…01000111000000
3101110111110012110
420330231013000
5301413144021
622521455320
73502044051
oct1074550700
9343443173
10150131136
1177821821
1242341540
13251467bc
1415d20728
15d2a8476
hex8f2d1c0

150131136 has 56 divisors (see below), whose sum is σ = 398272000. Its totient is φ = 49911552.

The previous prime is 150131117. The next prime is 150131159. The reversal of 150131136 is 631131051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95025 + ... + 96591.

It is an arithmetic number, because the mean of its divisors is an integer number (7112000).

Almost surely, 2150131136 is an apocalyptic number.

150131136 is a gapful number since it is divisible by the number (16) 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 150131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199136000).

150131136 is an abundant number, since it is smaller than the sum of its proper divisors (248140864).

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

150131136 is a wasteful number, since it uses less digits than its factorization.

150131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 150131136 is about 12252.8011491250. The cubic root of 150131136 is about 531.4840759297.

Adding to 150131136 its reverse (631131051), we get a palindrome (781262187).

The spelling of 150131136 in words is "one hundred fifty million, one hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 499 998 1497 1567 1996 2994 3134 3992 4701 5988 6268 7984 9402 11976 12536 15968 18804 23952 25072 31936 37608 47904 50144 75216 95808 100288 150432 300864 781933 1563866 2345799 3127732 4691598 6255464 9383196 12510928 18766392 25021856 37532784 50043712 75065568 150131136