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132153454113140 = 225211182317178269
BaseRepresentation
bin11110000011000101011111…
…101100000011000101110100
3122022220202011102211210001202
4132003011133230003011310
5114310200233223110030
61145022243025112032
736556525534513505
oct3603053754030564
9568822142753052
10132153454113140
1139120a68682519
12129a4284488618
13589802bb8a125
14248c393054bac
1510429344eb745
hex78315fb03174

132153454113140 has 48 divisors (see below), whose sum is σ = 278990496529920. Its totient is φ = 52581991217280.

The previous prime is 132153454113119. The next prime is 132153454113167. The reversal of 132153454113140 is 41311454351231.

It is a junction number, because it is equal to n+sod(n) for n = 132153454113094 and 132153454113103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896075 + ... + 16282194.

It is an arithmetic number, because the mean of its divisors is an integer number (5812302011040).

Almost surely, 2132153454113140 is an apocalyptic number.

132153454113140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132153454113140 is an abundant number, since it is smaller than the sum of its proper divisors (146837042416780).

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

132153454113140 is a wasteful number, since it uses less digits than its factorization.

132153454113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17180312 (or 17180310 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 132153454113140 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred fifty-four million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 211 422 844 1055 1823 2110 3646 4220 7292 9115 18230 36460 384653 769306 1538612 1923265 3846530 7693060 17178269 34356538 68713076 85891345 171782690 343565380 3624614759 7249229518 14498459036 18123073795 31315984387 36246147590 62631968774 72492295180 125263937548 156579921935 313159843870 626319687740 6607672705657 13215345411314 26430690822628 33038363528285 66076727056570 132153454113140