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145601145534 = 2313195910915277
BaseRepresentation
bin1000011110011010000…
…0010010101010111110
3111220211012020112221210
42013212200102222332
54341142343124114
6150515505505250
713343063213445
oct2074640225276
9456735215853
10145601145534
1156827061739
1224275642226
131096512a9b0
147093493d5c
153bc2820259
hex21e6812abe

145601145534 has 128 divisors (see below), whose sum is σ = 338804928000. Its totient is φ = 41337589248.

The previous prime is 145601145523. The next prime is 145601145577. The reversal of 145601145534 is 435541106541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 145601145492 and 145601145501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9523104 + ... + 9538380.

It is an arithmetic number, because the mean of its divisors is an integer number (2646913500).

Almost surely, 2145601145534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145601145534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169402464000).

145601145534 is an abundant number, since it is smaller than the sum of its proper divisors (193203782466).

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

145601145534 is a wasteful number, since it uses less digits than its factorization.

145601145534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15482.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 145601145534 in words is "one hundred forty-five billion, six hundred one million, one hundred forty-five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 59 78 109 114 118 177 218 247 327 354 494 654 741 767 1121 1417 1482 1534 2071 2242 2301 2834 3363 4142 4251 4602 6213 6431 6726 8502 12426 12862 14573 15277 19293 26923 29146 30554 38586 43719 45831 53846 80769 83603 87438 91662 122189 161538 167206 198601 244378 250809 290263 366567 397202 501618 580526 595803 733134 870789 901343 1191606 1588457 1665193 1741578 1802686 2704029 3176914 3330386 3773419 4765371 4995579 5408058 7546838 9530742 9991158 11320257 11717459 17125517 21647509 22640514 23434918 31638667 34251034 35152377 43295018 51376551 63277334 64942527 70304754 94916001 98246387 102753102 129885054 189832002 196492774 222631721 294739161 411302671 445263442 589478322 667895163 822605342 1233908013 1277203031 1335790326 1866681353 2467816026 2554406062 3733362706 3831609093 5600044059 7663218186 11200088118 24266857589 48533715178 72800572767 145601145534