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152142341200 = 245223113146347
BaseRepresentation
bin1000110110110001100…
…0111110010001010000
3112112201001122201111221
42031230120332101100
54443041414404300
6153520534214424
713664141363653
oct2155430762120
9475631581457
10152142341200
1159583426873
12255a01b4414
1311468373685
1475140dd89a
153e56c0c31a
hex236c63e450

152142341200 has 120 divisors (see below), whose sum is σ = 384792211008. Its totient is φ = 57695447040.

The previous prime is 152142341081. The next prime is 152142341209. The reversal of 152142341200 is 2143241251.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152142341209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966427 + ... + 1112773.

Almost surely, 2152142341200 is an apocalyptic number.

152142341200 is a gapful number since it is divisible by the number (10) 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 152142341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192396105504).

152142341200 is an abundant number, since it is smaller than the sum of its proper divisors (232649869808).

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

152142341200 is a wasteful number, since it uses less digits than its factorization.

152142341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146501 (or 146490 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 152142341200 its reverse (2143241251), we get a palindrome (154285582451).

The spelling of 152142341200 in words is "one hundred fifty-two billion, one hundred forty-two million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 113 115 184 200 226 230 368 400 452 460 565 575 904 920 1130 1150 1808 1840 2260 2300 2599 2825 4520 4600 5198 5650 9040 9200 10396 11300 12995 20792 22600 25990 41584 45200 51980 64975 103960 129950 146347 207920 259900 292694 519800 585388 731735 1039600 1170776 1463470 2341552 2926940 3365981 3658675 5853880 6731962 7317350 11707760 13463924 14634700 16537211 16829905 26927848 29269400 33074422 33659810 53855696 58538800 66148844 67319620 82686055 84149525 132297688 134639240 165372110 168299050 264595376 269278480 330744220 336598100 380355853 413430275 661488440 673196200 760711706 826860550 1322976880 1346392400 1521423412 1653721100 1901779265 3042846824 3307442200 3803558530 6085693648 6614884400 7607117060 9508896325 15214234120 19017792650 30428468240 38035585300 76071170600 152142341200