| Base | Representation |
|---|---|
| bin | 10001010100111… |
| … | …11010011100000 |
| 3 | 101010111211221120 |
| 4 | 20222133103200 |
| 5 | 244202343000 |
| 6 | 22231252240 |
| 7 | 3413335266 |
| oct | 1052372340 |
| 9 | 333454846 |
| 10 | 145356000 |
| 11 | 75060129 |
| 12 | 4081a080 |
| 13 | 2416418a |
| 14 | 1543a436 |
| 15 | cb636a0 |
| hex | 8a9f4e0 |
145356000 has 96 divisors (see below), whose sum is σ = 476225568. Its totient is φ = 38758400.
The previous prime is 145355989. The next prime is 145356011. The reversal of 145356000 is 653541.
It is an interprime number because it is at equal distance from previous prime (145355989) and next prime (145356011).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1453560002 = 42256733472000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5944 + ... + 18056.
It is an arithmetic number, because the mean of its divisors is an integer number (4960683).
Almost surely, 2145356000 is an apocalyptic number.
145356000 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 145356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238112784).
145356000 is an abundant number, since it is smaller than the sum of its proper divisors (330869568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145356000 is a wasteful number, since it uses less digits than its factorization.
145356000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12141 (or 12123 counting only the distinct ones).
The product of its (nonzero) digits is 1800, while the sum is 24.
The square root of 145356000 is about 12056.3676121791. The cubic root of 145356000 is about 525.7883846629.
The spelling of 145356000 in words is "one hundred forty-five million, three hundred fifty-six thousand".
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