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151425000 = 233255673
BaseRepresentation
bin10010000011010…
…00111111101000
3101112221012001100
421001220333220
5302231100000
623005321400
73516043206
oct1101507750
9345835040
10151425000
1178525931
1242866260
13254aa6bc
141617a076
15d461a00
hex9068fe8

151425000 has 144 divisors (see below), whose sum is σ = 513365580. Its totient is φ = 40320000.

The previous prime is 151424993. The next prime is 151425017. The reversal of 151425000 is 524151.

It can be written as a sum of positive squares in 6 ways, for example, as 27815076 + 123609924 = 5274^2 + 11118^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 224664 + ... + 225336.

Almost surely, 2151425000 is an apocalyptic number.

151425000 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 151425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256682790).

151425000 is an abundant number, since it is smaller than the sum of its proper divisors (361940580).

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

151425000 is an equidigital number, since it uses as much as digits as its factorization.

151425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 683 counting only the distinct ones).

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

The square root of 151425000 is about 12305.4865811962. The cubic root of 151425000 is about 533.0065272173.

Adding to 151425000 its reverse (524151), we get a palindrome (151949151).

The spelling of 151425000 in words is "one hundred fifty-one million, four hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 673 750 900 1000 1125 1250 1346 1500 1800 1875 2019 2250 2500 2692 3000 3125 3365 3750 4038 4500 5000 5384 5625 6057 6250 6730 7500 8076 9000 9375 10095 11250 12114 12500 13460 15000 16152 16825 18750 20190 22500 24228 25000 26920 28125 30285 33650 37500 40380 45000 48456 50475 56250 60570 67300 75000 80760 84125 100950 112500 121140 134600 151425 168250 201900 225000 242280 252375 302850 336500 403800 420625 504750 605700 673000 757125 841250 1009500 1211400 1261875 1514250 1682500 2019000 2103125 2523750 3028500 3365000 3785625 4206250 5047500 6057000 6309375 7571250 8412500 10095000 12618750 15142500 16825000 18928125 25237500 30285000 37856250 50475000 75712500 151425000