| Base | Representation |
|---|---|
| bin | 10010001000101… |
| … | …01011010000000 |
| 3 | 101121021001202220 |
| 4 | 21010111122000 |
| 5 | 302421144300 |
| 6 | 23032411040 |
| 7 | 3525044124 |
| oct | 1104253200 |
| 9 | 347231686 |
| 10 | 152131200 |
| 11 | 78968471 |
| 12 | 42b46a80 |
| 13 | 25696c80 |
| 14 | 162c1584 |
| 15 | d550da0 |
| hex | 9115680 |
152131200 has 384 divisors, whose sum is σ = 573713280. Its totient is φ = 35143680.
The previous prime is 152131163. The next prime is 152131201. The reversal of 152131200 is 2131251.
152131200 is digitally balanced in base 3, 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 (384).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 152131200.
It is not an unprimeable number, because it can be changed into a prime (152131201) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2870374 + ... + 2870426.
It is an arithmetic number, because the mean of its divisors is an integer number (1494045).
Almost surely, 2152131200 is an apocalyptic number.
152131200 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 152131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856640).
152131200 is an abundant number, since it is smaller than the sum of its proper divisors (421582080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152131200 is a wasteful number, since it uses less digits than its factorization.
152131200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 99 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 15.
The square root of 152131200 is about 12334.1477208602. The cubic root of 152131200 is about 533.8338357162.
Adding to 152131200 its reverse (2131251), we get a palindrome (154262451).
The spelling of 152131200 in words is "one hundred fifty-two million, one hundred thirty-one thousand, two hundred".
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