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145131635502 = 23274329391423
BaseRepresentation
bin1000011100101010000…
…1010000001100101110
3111212121110202222021100
42013022201100030232
54334212144314002
6150401134343530
713325332355520
oct2071241201456
9455543688240
10145131635502
115660602a917
122416435aba6
13108bba8c8c9
14704ad97a10
153b964cb11c
hex21ca85032e

145131635502 has 96 divisors (see below), whose sum is σ = 368990189568. Its totient is φ = 40363178688.

The previous prime is 145131635497. The next prime is 145131635503. The reversal of 145131635502 is 205536131541.

145131635502 is a `hidden beast` number, since 1 + 4 + 5 + 13 + 1 + 635 + 5 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145131635503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1541763 + ... + 1633185.

It is an arithmetic number, because the mean of its divisors is an integer number (3843647808).

Almost surely, 2145131635502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145131635502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184495094784).

145131635502 is an abundant number, since it is smaller than the sum of its proper divisors (223858554066).

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

145131635502 is a wasteful number, since it uses less digits than its factorization.

145131635502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91774 (or 91771 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 145131635502 in words is "one hundred forty-five billion, one hundred thirty-one million, six hundred thirty-five thousand, five hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 293 301 387 586 602 774 879 903 1758 1806 2051 2637 2709 4102 5274 5418 6153 12306 12599 18459 25198 36918 37797 75594 88193 91423 113391 176386 182846 226782 264579 274269 529158 548538 639961 793737 822807 1279922 1587474 1645614 1919883 3839766 3931189 5759649 7862378 11519298 11793567 23587134 26786939 27518323 35380701 53573878 55036646 70761402 80360817 82554969 160721634 165109938 187508573 241082451 247664907 375017146 482164902 495329814 562525719 1125051438 1151838377 1687577157 2303676754 3375154314 3455515131 6911030262 8062868639 10366545393 16125737278 20733090786 24188605917 48377211834 72565817751 145131635502