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152164134600 = 23352733474067
BaseRepresentation
bin1000110110110110110…
…0000110111011001000
3112112202120122221102220
42031231230012323020
54443113004301400
6153523033254040
713664524542402
oct2155554067310
9475676587386
10152164134600
1159594761545
12255a7564320
131146ca3418a
147516d73b72
153e58ab47a0
hex236db06ec8

152164134600 has 96 divisors (see below), whose sum is σ = 478170719520. Its totient is φ = 40021240320.

The previous prime is 152164134589. The next prime is 152164134607. The reversal of 152164134600 is 6431461251.

152164134600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (152164134607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1693234 + ... + 1780833.

It is an arithmetic number, because the mean of its divisors is an integer number (4980944995).

Almost surely, 2152164134600 is an apocalyptic number.

152164134600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152164134600 is an abundant number, since it is smaller than the sum of its proper divisors (326006584920).

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

152164134600 is a wasteful number, since it uses less digits than its factorization.

152164134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474159 (or 3474150 counting only the distinct ones).

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

Adding to 152164134600 its reverse (6431461251), we get a palindrome (158595595851).

The spelling of 152164134600 in words is "one hundred fifty-two billion, one hundred sixty-four million, one hundred thirty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 200 219 292 300 365 438 584 600 730 876 1095 1460 1752 1825 2190 2920 3650 4380 5475 7300 8760 10950 14600 21900 43800 3474067 6948134 10422201 13896268 17370335 20844402 27792536 34740670 41688804 52111005 69481340 83377608 86851675 104222010 138962680 173703350 208444020 253606891 260555025 347406700 416888040 507213782 521110050 694813400 760820673 1014427564 1042220100 1268034455 1521641346 2028855128 2084440200 2536068910 3043282692 3804103365 5072137820 6086565384 6340172275 7608206730 10144275640 12680344550 15216413460 19020516825 25360689100 30432826920 38041033650 50721378200 76082067300 152164134600