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145487129088 = 293722735953
BaseRepresentation
bin1000011101111110110…
…1010110101000000000
3111220112020200220210110
42013133231112220000
54340424201112323
6150500314031320
713340210123130
oct2073755265000
9456466626713
10145487129088
1156778767474
1224243418540
131094761a442
147082294ac0
153bb77ec793
hex21dfb56a00

145487129088 has 160 divisors (see below), whose sum is σ = 443225667456. Its totient is φ = 41542483968.

The previous prime is 145487129059. The next prime is 145487129113. The reversal of 145487129088 is 880921784541.

145487129088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 24436320 + ... + 24442272.

Almost surely, 2145487129088 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 145487129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221612833728).

145487129088 is an abundant number, since it is smaller than the sum of its proper divisors (297738538368).

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

145487129088 is an equidigital number, since it uses as much as digits as its factorization.

145487129088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The spelling of 145487129088 in words is "one hundred forty-five billion, four hundred eighty-seven million, one hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2273 2688 3584 4546 5376 5953 6819 9092 10752 11906 13638 15911 17859 18184 23812 27276 31822 35718 36368 41671 47624 47733 54552 63644 71436 72736 83342 95248 95466 109104 125013 127288 142872 145472 166684 190496 190932 218208 250026 254576 285744 290944 333368 380992 381864 436416 500052 509152 571488 581888 666736 761984 763728 872832 1000104 1018304 1142976 1163776 1333472 1523968 1527456 1745664 2000208 2036608 2285952 2666944 3047936 3054912 3491328 4000416 4073216 4571904 5333888 6109824 8000832 8146432 9143808 10667776 12219648 13531169 16001664 21335552 24439296 27062338 32003328 40593507 54124676 64006656 81187014 94718183 108249352 162374028 189436366 216498704 284154549 324748056 378872732 432997408 568309098 649496112 757745464 865994816 1136618196 1298992224 1515490928 1731989632 2273236392 2597984448 3030981856 3463979264 4546472784 5195968896 6061963712 6927958528 9092945568 10391937792 12123927424 18185891136 20783875584 24247854848 36371782272 48495709696 72743564544 145487129088