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149161536 = 26321715233
BaseRepresentation
bin10001110010000…
…00011001000000
3101101200012011100
420321000121000
5301141132121
622445014400
73460565166
oct1071003100
9341605140
10149161536
117721a2a7
1241b54400
1324b97384
1415b4b236
15d166026
hex8e40640

149161536 has 84 divisors (see below), whose sum is σ = 452724012. Its totient is φ = 46792704.

The previous prime is 149161513. The next prime is 149161577. The reversal of 149161536 is 635161941.

149161536 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 615 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 81000000 = 8256^2 + 9000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 149161536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2176 + ... + 17408.

Almost surely, 2149161536 is an apocalyptic number.

149161536 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 149161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226362006).

149161536 is an abundant number, since it is smaller than the sum of its proper divisors (303562476).

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

149161536 is a wasteful number, since it uses less digits than its factorization.

149161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15268 (or 15255 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 149161536 is about 12213.1705957135. The cubic root of 149161536 is about 530.3374331581.

The spelling of 149161536 in words is "one hundred forty-nine million, one hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 15233 30466 45699 60932 91398 121864 137097 182796 243728 258961 274194 365592 487456 517922 548388 731184 776883 974912 1035844 1096776 1462368 1553766 2071688 2193552 2330649 2924736 3107532 4143376 4387104 4661298 6215064 8286752 8774208 9322596 12430128 16573504 18645192 24860256 37290384 49720512 74580768 149161536