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150883137 = 32113148361
BaseRepresentation
bin10001111111001…
…00101101000001
3101111220122202100
420333210231001
5302111230022
622545541013
73511325346
oct1077445501
9344818670
10150883137
1178195809
1242644769
132534ab82
14160787cd
15d3a61ac
hex8fe4b41

150883137 has 12 divisors (see below), whose sum is σ = 219872484. Its totient is φ = 99697920.

The previous prime is 150883133. The next prime is 150883147. The reversal of 150883137 is 731388051.

150883137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 19000881 + 131882256 = 4359^2 + 11484^2 .

It is not a de Polignac number, because 150883137 - 22 = 150883133 is a prime.

It is not an unprimeable number, because it can be changed into a prime (150883133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73164 + ... + 75197.

It is an arithmetic number, because the mean of its divisors is an integer number (18322707).

Almost surely, 2150883137 is an apocalyptic number.

It is an amenable number.

150883137 is a deficient number, since it is larger than the sum of its proper divisors (68989347).

150883137 is a wasteful number, since it uses less digits than its factorization.

150883137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148480 (or 148477 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 150883137 is about 12283.4497190325. The cubic root of 150883137 is about 532.3699927280.

It can be divided in two parts, 15088 and 3137, that added together give a square (18225 = 1352).

The spelling of 150883137 in words is "one hundred fifty million, eight hundred eighty-three thousand, one hundred thirty-seven".

Divisors: 1 3 9 113 339 1017 148361 445083 1335249 16764793 50294379 150883137