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145020000 = 253542417
BaseRepresentation
bin10001010010011…
…01010001100000
3101002212210001010
420221031101200
5244111120000
622220140520
73410435556
oct1051152140
9332783033
10145020000
1174950744
1240697740
1324077268
141538dbd6
15cae8d50
hex8a4d460

145020000 has 120 divisors (see below), whose sum is σ = 475891416. Its totient is φ = 38656000.

The previous prime is 145019999. The next prime is 145020011. The reversal of 145020000 is 20541.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58792 + ... + 61208.

Almost surely, 2145020000 is an apocalyptic number.

145020000 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 145020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945708).

145020000 is an abundant number, since it is smaller than the sum of its proper divisors (330871416).

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

145020000 is an equidigital number, since it uses as much as digits as its factorization.

145020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 145020000 is about 12042.4250049564. The cubic root of 145020000 is about 525.3829405658.

Adding to 145020000 its reverse (20541), we get a palindrome (145040541).

The spelling of 145020000 in words is "one hundred forty-five million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2417 2500 3000 3750 4000 4834 5000 6000 7251 7500 9668 10000 12000 12085 14502 15000 19336 20000 24170 29004 30000 36255 38672 48340 58008 60000 60425 72510 77344 96680 116016 120850 145020 181275 193360 232032 241700 290040 302125 362550 386720 483400 580080 604250 725100 906375 966800 1160160 1208500 1450200 1510625 1812750 1933600 2417000 2900400 3021250 3625500 4531875 4834000 5800800 6042500 7251000 9063750 9668000 12085000 14502000 18127500 24170000 29004000 36255000 48340000 72510000 145020000