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158132064 = 25347101347
BaseRepresentation
bin10010110110011…
…10011101100000
3102000112221102010
421123032131200
5310440211224
623405152520
73630046266
oct1133163540
9360487363
10158132064
1181296a62
1244b5b740
13269b848c
1417004436
15dd38e29
hex96ce760

158132064 has 96 divisors (see below), whose sum is σ = 429359616. Its totient is φ = 50931200.

The previous prime is 158132063. The next prime is 158132071. The reversal of 158132064 is 460231851.

158132064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158132063) 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, 455539 + ... + 455885.

It is an arithmetic number, because the mean of its divisors is an integer number (4472496).

Almost surely, 2158132064 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 158132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214679808).

158132064 is an abundant number, since it is smaller than the sum of its proper divisors (271227552).

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

158132064 is a wasteful number, since it uses less digits than its factorization.

158132064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 158132064 is about 12575.0572165696. The cubic root of 158132064 is about 540.7625988046.

The spelling of 158132064 in words is "one hundred fifty-eight million, one hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 101 141 188 202 282 303 347 376 404 564 606 694 752 808 1041 1128 1212 1388 1504 1616 2082 2256 2424 2776 3232 4164 4512 4747 4848 5552 8328 9494 9696 11104 14241 16309 16656 18988 28482 32618 33312 35047 37976 48927 56964 65236 70094 75952 97854 105141 113928 130472 140188 151904 195708 210282 227856 260944 280376 391416 420564 455712 521888 560752 782832 841128 1121504 1565664 1647209 1682256 3294418 3364512 4941627 6588836 9883254 13177672 19766508 26355344 39533016 52710688 79066032 158132064