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145732573000 = 2353741507779
BaseRepresentation
bin1000011110111001010…
…1101001011101001000
3111221011100112202112201
42013232111221131020
54341430014314000
6150540522445544
713346250301060
oct2075625513510
9457140482481
10145732573000
1156894269083
12242b16638b4
1310986426121
1470a6b063a0
153bce13196a
hex21ee569748

145732573000 has 128 divisors (see below), whose sum is σ = 399236947200. Its totient is φ = 48746688000.

The previous prime is 145732572989. The next prime is 145732573027. The reversal of 145732573000 is 375237541.

145732573000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33111 + ... + 540889.

It is an arithmetic number, because the mean of its divisors is an integer number (3119038650).

Almost surely, 2145732573000 is an apocalyptic number.

145732573000 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 145732573000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199618473600).

145732573000 is an abundant number, since it is smaller than the sum of its proper divisors (253504374200).

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

145732573000 is a wasteful number, since it uses less digits than its factorization.

145732573000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507848 (or 507834 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The spelling of 145732573000 in words is "one hundred forty-five billion, seven hundred thirty-two million, five hundred seventy-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 125 140 164 175 200 205 250 280 287 328 350 410 500 574 700 820 875 1000 1025 1148 1400 1435 1640 1750 2050 2296 2870 3500 4100 5125 5740 7000 7175 8200 10250 11480 14350 20500 28700 35875 41000 57400 71750 143500 287000 507779 1015558 2031116 2538895 3554453 4062232 5077790 7108906 10155580 12694475 14217812 17772265 20311160 20818939 25388950 28435624 35544530 41637878 50777900 63472375 71089060 83275756 88861325 101555800 104094695 126944750 142178120 145732573 166551512 177722650 208189390 253889500 291465146 355445300 416378780 444306625 507779000 520473475 582930292 710890600 728662865 832757560 888613250 1040946950 1165860584 1457325730 1777226500 2081893900 2602367375 2914651460 3554453000 3643314325 4163787800 5204734750 5829302920 7286628650 10409469500 14573257300 18216571625 20818939000 29146514600 36433143250 72866286500 145732573000