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145437000 = 2335348479
BaseRepresentation
bin10001010101100…
…11000101001000
3101010122222001120
420222303011020
5244212441000
622233115240
73414123402
oct1052630510
9333588046
10145437000
1175105a75
1240858b20
1324191cc7
141545bb72
15cb7c6a0
hex8ab3148

145437000 has 64 divisors (see below), whose sum is σ = 453772800. Its totient is φ = 38782400.

The previous prime is 145436959. The next prime is 145437007. The reversal of 145437000 is 734541.

145437000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (145437007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21240 + ... + 27239.

It is an arithmetic number, because the mean of its divisors is an integer number (7090200).

Almost surely, 2145437000 is an apocalyptic number.

145437000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145437000 is an abundant number, since it is smaller than the sum of its proper divisors (308335800).

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

145437000 is a wasteful number, since it uses less digits than its factorization.

145437000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48503 (or 48489 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 145437000 is about 12059.7263650549. The cubic root of 145437000 is about 525.8860321644.

The spelling of 145437000 in words is "one hundred forty-five million, four hundred thirty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 48479 96958 145437 193916 242395 290874 387832 484790 581748 727185 969580 1163496 1211975 1454370 1939160 2423950 2908740 3635925 4847900 5817480 6059875 7271850 9695800 12119750 14543700 18179625 24239500 29087400 36359250 48479000 72718500 145437000