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132541405000 = 235426508281
BaseRepresentation
bin111101101110000010…
…1010101011101001000
3110200010001000222212221
41323130011111131020
54132421044430000
6140515542143424
712401333232244
oct1733405253510
9420101028787
10132541405000
1151235193344
122182ba21b74
13c663570184
1465b4c17424
1536ab01c61a
hex1edc155748

132541405000 has 40 divisors (see below), whose sum is σ = 310544523630. Its totient is φ = 53016560000.

The previous prime is 132541404991. The next prime is 132541405013. The reversal of 132541405000 is 504145231.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 24785464356 + 107755940644 = 157434^2 + 328262^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13249141 + ... + 13259140.

Almost surely, 2132541405000 is an apocalyptic number.

132541405000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132541405000 is an abundant number, since it is smaller than the sum of its proper divisors (178003118630).

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

132541405000 is an equidigital number, since it uses as much as digits as its factorization.

132541405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26508307 (or 26508288 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 132541405000 in words is "one hundred thirty-two billion, five hundred forty-one million, four hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 26508281 53016562 106033124 132541405 212066248 265082810 530165620 662707025 1060331240 1325414050 2650828100 3313535125 5301656200 6627070250 13254140500 16567675625 26508281000 33135351250 66270702500 132541405000