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132150623154600 = 23352415371976551
BaseRepresentation
bin11110000011000010110110…
…111100110011000110101000
3122022220110212010220012000110
4132003002312330303012220
5114310123434011421400
61145021054055534320
736556365430665201
oct3603026674630650
9568813763805013
10132150623154600
113911a84567a466
12129a381438a3a0
13589799a51082b
14248c1a50925a8
15104281abe8e50
hex7830b6f331a8

132150623154600 has 96 divisors (see below), whose sum is σ = 419658808242240. Its totient is φ = 34380649920000.

The previous prime is 132150623154587. The next prime is 132150623154601. The reversal of 132150623154600 is 6451326051231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132150623154601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2685963676 + ... + 2686012875.

It is an arithmetic number, because the mean of its divisors is an integer number (4371445919190).

Almost surely, 2132150623154600 is an apocalyptic number.

132150623154600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132150623154600 is an abundant number, since it is smaller than the sum of its proper divisors (287508185087640).

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

132150623154600 is a wasteful number, since it uses less digits than its factorization.

132150623154600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5371976611 (or 5371976602 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 132150623154600 in words is "one hundred thirty-two trillion, one hundred fifty billion, six hundred twenty-three million, one hundred fifty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 5371976551 10743953102 16115929653 21487906204 26859882755 32231859306 42975812408 53719765510 64463718612 80579648265 107439531020 128927437224 134299413775 161159296530 214879062040 220251038591 268598827550 322318593060 402898241325 440502077182 537197655100 644637186120 660753115773 805796482650 881004154364 1074395310200 1101255192955 1321506231546 1611592965300 1762008308728 2202510385910 2643012463092 3223185930600 3303765578865 4405020771820 5286024926184 5506275964775 6607531157730 8810041543640 11012551929550 13215062315460 16518827894325 22025103859100 26430124630920 33037655788650 44050207718200 66075311577300 132150623154600