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145881125572 = 2273138879221
BaseRepresentation
bin1000011111011100110…
…0010101001011000100
3111221112201002000100211
42013313030111023010
54342231032004242
6151003350445204
713353033052000
oct2076714251304
9457481060324
10145881125572
11569601018a6
1224333363804
13109ab139260
1470bc735700
153bdc1c7317
hex21f73152c4

145881125572 has 96 divisors (see below), whose sum is σ = 321014131200. Its totient is φ = 57639899520.

The previous prime is 145881125561. The next prime is 145881125581. The reversal of 145881125572 is 275521188541.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15815922 + ... + 15825142.

It is an arithmetic number, because the mean of its divisors is an integer number (3343897200).

Almost surely, 2145881125572 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 145881125572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160507065600).

145881125572 is an abundant number, since it is smaller than the sum of its proper divisors (175133005628).

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

145881125572 is a wasteful number, since it uses less digits than its factorization.

145881125572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10146 (or 10130 counting only the distinct ones).

The product of its digits is 896000, while the sum is 49.

The spelling of 145881125572 in words is "one hundred forty-five billion, eight hundred eighty-one million, one hundred twenty-five thousand, five hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 887 1274 1372 1774 2548 3548 4459 6209 8918 9221 11531 12418 17836 18442 23062 24836 36884 43463 46124 64547 80717 86926 119873 129094 161434 173852 239746 258188 304241 322868 451829 479492 565019 608482 839111 903658 1130038 1216964 1678222 1807316 2260076 3162803 3356444 3955133 5873777 6325606 7910266 8179027 11747554 12651212 15820532 16358054 23495108 32716108 41116439 57253189 82232878 106327351 114506378 164465756 212654702 229012756 400772323 425309404 744291457 801544646 1488582914 1603089292 2805406261 2977165828 5210040199 5610812522 10420080398 11221625044 20840160796 36470281393 72940562786 145881125572