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150135744 = 26311671061
BaseRepresentation
bin10001111001011…
…10001111000000
3101110111200112010
420330232033000
5301413320434
622521532520
73502063353
oct1074561700
9343450463
10150135744
1177825230
1242344140
1325148925
1415d2229a
15d2a99e9
hex8f2e3c0

150135744 has 112 divisors (see below), whose sum is σ = 440228736. Its totient is φ = 44774400.

The previous prime is 150135731. The next prime is 150135763. The reversal of 150135744 is 447531051.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140974 + ... + 142034.

Almost surely, 2150135744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220114368).

150135744 is an abundant number, since it is smaller than the sum of its proper divisors (290092992).

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

150135744 is a wasteful number, since it uses less digits than its factorization.

150135744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 150135744 is about 12252.9891863169. The cubic root of 150135744 is about 531.4895135172.

Adding to 150135744 its reverse (447531051), we get a palindrome (597666795).

The spelling of 150135744 in words is "one hundred fifty million, one hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 67 88 96 132 134 176 192 201 264 268 352 402 528 536 704 737 804 1056 1061 1072 1474 1608 2112 2122 2144 2211 2948 3183 3216 4244 4288 4422 5896 6366 6432 8488 8844 11671 11792 12732 12864 16976 17688 23342 23584 25464 33952 35013 35376 46684 47168 50928 67904 70026 70752 71087 93368 101856 140052 141504 142174 186736 203712 213261 280104 284348 373472 426522 560208 568696 746944 781957 853044 1120416 1137392 1563914 1706088 2240832 2274784 2345871 3127828 3412176 4549568 4691742 6255656 6824352 9383484 12511312 13648704 18766968 25022624 37533936 50045248 75067872 150135744