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145021500 = 223253133767
BaseRepresentation
bin10001010010011…
…01101000111100
3101002212212002200
420221031220330
5244111142000
622220151500
73410443131
oct1051155074
9332785080
10145021500
1174951888
1240698590
1324077b50
1415390588
15cae9500
hex8a4da3c

145021500 has 288 divisors, whose sum is σ = 513554496. Its totient is φ = 34214400.

The previous prime is 145021493. The next prime is 145021507. The reversal of 145021500 is 5120541.

145021500 = T259 + T260 + ... + T960.

145021500 is a `hidden beast` number, since 1 + 450 + 215 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145021493) and next prime (145021507).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145021507) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2164467 + ... + 2164533.

Almost surely, 2145021500 is an apocalyptic number.

145021500 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 145021500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256777248).

145021500 is an abundant number, since it is smaller than the sum of its proper divisors (368532996).

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

145021500 is a wasteful number, since it uses less digits than its factorization.

145021500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 145021500 is about 12042.4872846103. The cubic root of 145021500 is about 525.3847519750.

The spelling of 145021500 in words is "one hundred forty-five million, twenty-one thousand, five hundred".