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132255813840 = 24351478337277
BaseRepresentation
bin111101100101100001…
…1111001000011010000
3110122101010122110110120
41323023003321003100
54131324442020330
6140431341030240
712361264604043
oct1731303710320
9418333573416
10132255813840
11510a8a60497
1221770255380
13c619348917
146588d14c5a
153690e07c10
hex1ecb0f90d0

132255813840 has 80 divisors (see below), whose sum is σ = 410031756288. Its totient is φ = 35264885248.

The previous prime is 132255813839. The next prime is 132255813841. The reversal of 132255813840 is 48318552231.

It is an interprime number because it is at equal distance from previous prime (132255813839) and next prime (132255813841).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 132255813792 and 132255813801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132255813841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3529282 + ... + 3566558.

Almost surely, 2132255813840 is an apocalyptic number.

132255813840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132255813840 is an abundant number, since it is smaller than the sum of its proper divisors (277775942448).

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

132255813840 is a wasteful number, since it uses less digits than its factorization.

132255813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52076 (or 52070 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 132255813840 in words is "one hundred thirty-two billion, two hundred fifty-five million, eight hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 14783 29566 37277 44349 59132 73915 74554 88698 111831 118264 147830 149108 177396 186385 221745 223662 236528 295660 298216 354792 372770 443490 447324 559155 591320 596432 709584 745540 886980 894648 1118310 1182640 1491080 1773960 1789296 2236620 2982160 3547920 4473240 8946480 551065891 1102131782 1653197673 2204263564 2755329455 3306395346 4408527128 5510658910 6612790692 8265988365 8817054256 11021317820 13225581384 16531976730 22042635640 26451162768 33063953460 44085271280 66127906920 132255813840