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145020120 = 23357172643
BaseRepresentation
bin10001010010011…
…01010011011000
3101002212210012120
420221031103120
5244111120440
622220141240
73410436120
oct1051152330
9332783176
10145020120
1174950843
1240697820
132407732b
141538dc80
15cae8dd0
hex8a4d4d8

145020120 has 64 divisors (see below), whose sum is σ = 497214720. Its totient is φ = 33147264.

The previous prime is 145020101. The next prime is 145020163. The reversal of 145020120 is 21020541.

145020120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 145020120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85482 + ... + 87161.

It is an arithmetic number, because the mean of its divisors is an integer number (7768980).

Almost surely, 2145020120 is an apocalyptic number.

145020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145020120 is an abundant number, since it is smaller than the sum of its proper divisors (352194600).

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

145020120 is a wasteful number, since it uses less digits than its factorization.

145020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172664 (or 172660 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 145020120 is about 12042.4299873406. The cubic root of 145020120 is about 525.3830854790.

Adding to 145020120 its reverse (21020541), we get a palindrome (166040661).

The spelling of 145020120 in words is "one hundred forty-five million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 172643 345286 517929 690572 863215 1035858 1208501 1381144 1726430 2071716 2417002 2589645 3452860 3625503 4143432 4834004 5179290 6042505 6905720 7251006 9668008 10358580 12085010 14502012 18127515 20717160 24170020 29004024 36255030 48340040 72510060 145020120