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132134120321140 = 22579532869734511
BaseRepresentation
bin11110000010110011011111…
…010011011111000001110100
3122022211220021000220101101101
4132002303133103133001310
5114304341134300234030
61145005324334535444
736555242452140130
oct3602633723370164
9568756230811341
10132134120321140
1139113847212423
12129a0589667584
13589626a51c912
14248b47b42c3c0
1510421a1eca7ca
hex782cdf4df074

132134120321140 has 96 divisors (see below), whose sum is σ = 317474911724544. Its totient is φ = 45252701276160.

The previous prime is 132134120321089. The next prime is 132134120321173. The reversal of 132134120321140 is 41123021431231.

132134120321140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132134120321099 and 132134120321108.

It is a congruent number.

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, 3828736485 + ... + 3828770995.

It is an arithmetic number, because the mean of its divisors is an integer number (3307030330464).

Almost surely, 2132134120321140 is an apocalyptic number.

132134120321140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132134120321140 is an abundant number, since it is smaller than the sum of its proper divisors (185340791403404).

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

132134120321140 is a wasteful number, since it uses less digits than its factorization.

132134120321140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64177 (or 64175 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 132134120321140 its reverse (41123021431231), we get a palindrome (173257141752371).

The spelling of 132134120321140 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, one hundred twenty million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 953 1906 3812 4765 6671 9530 13342 19060 26684 28697 33355 34511 57394 66710 69022 114788 133420 138044 143485 172555 200879 241577 286970 345110 401758 483154 573940 690220 803516 966308 1004395 1207885 2008790 2415770 4017580 4831540 27348241 32888983 54696482 65777966 109392964 131555932 136741205 164444915 191437687 230222881 273482410 328889830 382875374 460445762 546964820 657779660 765750748 920891524 957188435 990362167 1151114405 1914376870 1980724334 2302228810 3828753740 3961448668 4604457620 4951810835 6932535169 9903621670 13865070338 19807243340 27730140676 34662675845 69325351690 138650703380 943815145151 1887630290302 3775260580604 4719075725755 6606706016057 9438151451510 13213412032114 18876302903020 26426824064228 33033530080285 66067060160570 132134120321140