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158142336 = 27311291291
BaseRepresentation
bin10010110110100…
…00111110000000
3102000120110111120
421123100332000
5310441023321
623405312240
73630121242
oct1133207600
9360513446
10158142336
11812a3750
1244b65680
13269c0061
1417008092
15dd3bec6
hex96d0f80

158142336 has 128 divisors (see below), whose sum is σ = 474422400. Its totient is φ = 46233600.

The previous prime is 158142331. The next prime is 158142337. The reversal of 158142336 is 633241851.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 158142297 and 158142306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158142331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121851 + ... + 123141.

It is an arithmetic number, because the mean of its divisors is an integer number (3706425).

Almost surely, 2158142336 is an apocalyptic number.

158142336 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 158142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237211200).

158142336 is an abundant number, since it is smaller than the sum of its proper divisors (316280064).

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

158142336 is a wasteful number, since it uses less digits than its factorization.

158142336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1336 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 158142336 is about 12575.4656375023. The cubic root of 158142336 is about 540.7743075688.

The spelling of 158142336 in words is "one hundred fifty-eight million, one hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 264 319 348 352 384 464 528 638 696 704 928 957 1056 1276 1291 1392 1408 1856 1914 2112 2552 2582 2784 3712 3828 3873 4224 5104 5164 5568 7656 7746 10208 10328 11136 14201 15312 15492 20416 20656 28402 30624 30984 37439 40832 41312 42603 56804 61248 61968 74878 82624 85206 112317 113608 122496 123936 149756 165248 170412 224634 227216 247872 299512 340824 411829 449268 454432 495744 599024 681648 823658 898536 908864 1198048 1235487 1363296 1647316 1797072 1817728 2396096 2470974 2726592 3294632 3594144 4792192 4941948 5453184 6589264 7188288 9883896 13178528 14376576 19767792 26357056 39535584 52714112 79071168 158142336