Search a number
-
+
149915136 = 293773191
BaseRepresentation
bin10001110111110…
…00011000000000
3101110002110220110
420323320120000
5301334241021
622513111320
73500154240
oct1073703000
9343073813
10149915136
1177694508
1242258540
132509c3a7
1415ca5b20
15d264476
hex8ef8600

149915136 has 160 divisors (see below), whose sum is σ = 465113088. Its totient is φ = 42024960.

The previous prime is 149915119. The next prime is 149915141. The reversal of 149915136 is 631519941.

It is a junction number, because it is equal to n+sod(n) for n = 149915094 and 149915103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 784801 + ... + 784991.

Almost surely, 2149915136 is an apocalyptic number.

149915136 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 149915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232556544).

149915136 is an abundant number, since it is smaller than the sum of its proper divisors (315197952).

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

149915136 is an equidigital number, since it uses as much as digits as its factorization.

149915136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 149915136 is about 12243.9836654579. The cubic root of 149915136 is about 531.2290640700.

It can be divided in two parts, 149915 and 136, that added together give a palindrome (150051).

The spelling of 149915136 in words is "one hundred forty-nine million, nine hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 191 192 219 224 256 292 336 382 384 438 448 511 512 573 584 672 764 768 876 896 1022 1146 1168 1337 1344 1528 1533 1536 1752 1792 2044 2292 2336 2674 2688 3056 3066 3504 3584 4011 4088 4584 4672 5348 5376 6112 6132 7008 8022 8176 9168 9344 10696 10752 12224 12264 13943 14016 16044 16352 18336 18688 21392 24448 24528 27886 28032 32088 32704 36672 37376 41829 42784 48896 49056 55772 56064 64176 65408 73344 83658 85568 97601 97792 98112 111544 112128 128352 130816 146688 167316 171136 195202 196224 223088 256704 261632 292803 293376 334632 342272 390404 392448 446176 513408 585606 669264 684544 780808 784896 892352 1026816 1171212 1338528 1561616 1784704 2053632 2342424 2677056 3123232 3569408 4684848 5354112 6246464 7138816 9369696 10708224 12492928 18739392 21416448 24985856 37478784 49971712 74957568 149915136