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145608154272 = 2532772226267
BaseRepresentation
bin1000011110011011101…
…1000001110010100000
3111220211200102122010200
42013212323001302200
54341201141414042
6150520320025200
713343206614210
oct2074673016240
9456750378120
10145608154272
1156830009489
1224277a62200
1310966712b89
14709439a240
153bc3256c4c
hex21e6ec1ca0

145608154272 has 72 divisors (see below), whose sum is σ = 473226507936. Its totient is φ = 41602329216.

The previous prime is 145608154267. The next prime is 145608154283. The reversal of 145608154272 is 272451806541.

145608154272 is a `hidden beast` number, since 1 + 4 + 5 + 608 + 15 + 4 + 27 + 2 = 666.

145608154272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36111118 + ... + 36115149.

It is an arithmetic number, because the mean of its divisors is an integer number (6572590388).

Almost surely, 2145608154272 is an apocalyptic number.

145608154272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145608154272 is an abundant number, since it is smaller than the sum of its proper divisors (327618353664).

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

145608154272 is a wasteful number, since it uses less digits than its factorization.

145608154272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72226290 (or 72226279 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 145608154272 in words is "one hundred forty-five billion, six hundred eight million, one hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 72226267 144452534 216678801 288905068 433357602 505583869 577810136 650036403 866715204 1011167738 1155620272 1300072806 1516751607 1733430408 2022335476 2311240544 2600145612 3033503214 3466860816 4044670952 4550254821 5200291224 6067006428 6933721632 8089341904 9100509642 10400582448 12134012856 16178683808 18201019284 20801164896 24268025712 36402038568 48536051424 72804077136 145608154272