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145463135532 = 2231113436319429
BaseRepresentation
bin1000011101111001000…
…1110100110100101100
3111220110120112220211020
42013132101310310230
54340402030314112
6150454055454140
713336466152101
oct2073621646454
9456416486736
10145463135532
1156766169790
1224237387350
1310942669380
14707d00aaa8
153bb565d48c
hex21de474d2c

145463135532 has 96 divisors (see below), whose sum is σ = 398864014080. Its totient is φ = 40677569280.

The previous prime is 145463135509. The next prime is 145463135533. The reversal of 145463135532 is 235531364541.

It is a happy number.

145463135532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145463135533) by changing a digit.

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, 7477194 + ... + 7496622.

It is an arithmetic number, because the mean of its divisors is an integer number (4154833480).

Almost surely, 2145463135532 is an apocalyptic number.

145463135532 is a gapful number since it is divisible by the number (12) 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 145463135532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199432007040).

145463135532 is an abundant number, since it is smaller than the sum of its proper divisors (253400878548).

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

145463135532 is a wasteful number, since it uses less digits than its factorization.

145463135532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23823 (or 23821 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 145463135532 in words is "one hundred forty-five billion, four hundred sixty-three million, one hundred thirty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 4363 8726 13089 17452 19429 26178 38858 47993 52356 56719 58287 77716 95986 113438 116574 143979 170157 191972 213719 226876 233148 252577 287958 340314 427438 505154 575916 623909 641157 680628 757731 854876 1010308 1247818 1282314 1515462 1871727 2495636 2564628 2778347 3030924 3743454 5556694 7486908 8335041 11113388 16670082 33340164 84768727 169537454 254306181 339074908 508612362 932455997 1017224724 1101993451 1864911994 2203986902 2797367991 3305980353 3729823988 4407973804 5594735982 6611960706 11189471964 12121927961 13223921412 24243855922 36365783883 48487711844 72731567766 145463135532