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132807007275540 = 2235131442411180423
BaseRepresentation
bin11110001100100110001010…
…011111100000101000010100
3122102020020002200102100200020
4132030212022133200220110
5114401402222330304130
61150242410305345140
736654663305652363
oct3614461237405024
9572206080370606
10132807007275540
1139353154376614
1212a8aa7a0381b0
1359148547485c0
1424b1c718a57da
151054935b1ce10
hex78c98a7e0a14

132807007275540 has 96 divisors (see below), whose sum is σ = 400467322166016. Its totient is φ = 32690701301760.

The previous prime is 132807007275539. The next prime is 132807007275557. The reversal of 132807007275540 is 45572700708231.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 111917769 + ... + 113098191.

It is an arithmetic number, because the mean of its divisors is an integer number (4171534605896).

Almost surely, 2132807007275540 is an apocalyptic number.

132807007275540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132807007275540 is an abundant number, since it is smaller than the sum of its proper divisors (267660314890476).

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

132807007275540 is a wasteful number, since it uses less digits than its factorization.

132807007275540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324689 (or 1324687 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 132807007275540 in words is "one hundred thirty-two trillion, eight hundred seven billion, seven million, two hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 144241 288482 432723 576964 721205 865446 1180423 1442410 1730892 1875133 2163615 2360846 2884820 3541269 3750266 4327230 4721692 5625399 5902115 7082538 7500532 8654460 9375665 11250798 11804230 14165076 15345499 17706345 18751330 22501596 23608460 28126995 30690998 35412690 37502660 46036497 56253990 61381996 70825380 76727495 92072994 112507980 153454990 184145988 230182485 306909980 460364970 920729940 170265393943 340530787886 510796181829 681061575772 851326969715 1021592363658 1702653939430 2043184727316 2213450121259 2553980909145 3405307878860 4426900242518 5107961818290 6640350363777 8853800485036 10215923636580 11067250606295 13280700727554 22134501212590 26561401455108 33201751818885 44269002425180 66403503637770 132807007275540