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145605245152 = 2531376165033
BaseRepresentation
bin1000011110011010111…
…1111011100011100000
3111220211110221211120111
42013212233323203200
54341144420321102
6150520133421104
713343143106623
oct2074657734340
9456743854514
10145605245152
1156829401854
1224276a9a794
1310965c349c3
147093c3ddba
153bc2d7ecd7
hex21e6bfb8e0

145605245152 has 96 divisors (see below), whose sum is σ = 308891729664. Its totient is φ = 67425177600.

The previous prime is 145605245057. The next prime is 145605245161. The reversal of 145605245152 is 251542506541.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 2206428 + ... + 2271460.

It is an arithmetic number, because the mean of its divisors is an integer number (3217622184).

Almost surely, 2145605245152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145605245152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154445864832).

145605245152 is an abundant number, since it is smaller than the sum of its proper divisors (163286484512).

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

145605245152 is a wasteful number, since it uses less digits than its factorization.

145605245152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65172 (or 65164 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 145605245152 in words is "one hundred forty-five billion, six hundred five million, two hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 37 61 62 74 122 124 148 244 248 296 488 496 592 976 992 1147 1184 1891 1952 2257 2294 3782 4514 4588 7564 9028 9176 15128 18056 18352 30256 36112 36704 60512 65033 69967 72224 130066 139934 260132 279868 520264 559736 1040528 1119472 2016023 2081056 2238944 2406221 3967013 4032046 4812442 7934026 8064092 9624884 15868052 16128184 19249768 31736104 32256368 38499536 63472208 64512736 74592851 76999072 122977403 126944416 146779481 149185702 245954806 293558962 298371404 491909612 587117924 596742808 983819224 1174235848 1193485616 1967638448 2348471696 2386971232 3935276896 4550163911 4696943392 9100327822 18200655644 36401311288 72802622576 145605245152