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135990112000 = 285341103651
BaseRepresentation
bin111111010100110100…
…1000110111100000000
3111000000101101110111211
41332221221012330000
54212001432041000
6142250100015504
712552650610511
oct1765151067400
9430011343454
10135990112000
1152744966a16
1222432991594
13ca92bba9c2
146820c62a08
15380db967ba
hex1fa9a46f00

135990112000 has 144 divisors (see below), whose sum is σ = 347034358944. Its totient is φ = 53068800000.

The previous prime is 135990111997. The next prime is 135990112019. The reversal of 135990112000 is 211099531.

It is a happy number.

It is a congruent number.

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, 1260175 + ... + 1363825.

It is an arithmetic number, because the mean of its divisors is an integer number (2409960826).

Almost surely, 2135990112000 is an apocalyptic number.

135990112000 is a gapful number since it is divisible by the number (10) 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 135990112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173517179472).

135990112000 is an abundant number, since it is smaller than the sum of its proper divisors (211044246944).

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

135990112000 is an equidigital number, since it uses as much as digits as its factorization.

135990112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103723 (or 103699 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 31.

The spelling of 135990112000 in words is "one hundred thirty-five billion, nine hundred ninety million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 256 320 328 400 410 500 640 656 800 820 1000 1025 1280 1312 1600 1640 2000 2050 2624 3200 3280 4000 4100 5125 5248 6400 6560 8000 8200 10250 10496 13120 16000 16400 20500 26240 32000 32800 41000 52480 65600 82000 103651 131200 164000 207302 262400 328000 414604 518255 656000 829208 1036510 1312000 1658416 2073020 2591275 3316832 4146040 4249691 5182550 6633664 8292080 8499382 10365100 12956375 13267328 16584160 16998764 20730200 21248455 25912750 26534656 33168320 33997528 41460400 42496910 51825500 66336640 67995056 82920800 84993820 103651000 106242275 132673280 135990112 165841600 169987640 207302000 212484550 271980224 331683200 339975280 414604000 424969100 531211375 543960448 663366400 679950560 829208000 849938200 1062422750 1087920896 1359901120 1658416000 1699876400 2124845500 2719802240 3316832000 3399752800 4249691000 5439604480 6799505600 8499382000 13599011200 16998764000 27198022400 33997528000 67995056000 135990112000