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132341508096 = 211372472199
BaseRepresentation
bin111101101000000101…
…0110010100000000000
3110122121002220011212220
41323100022302200000
54132013411224341
6140444041451040
712363355154400
oct1732012624000
9418532804786
10132341508096
1151142370896
1221794aa0a80
13c631020a95
146596460800
1536986d3a66
hex1ed02b2800

132341508096 has 432 divisors, whose sum is σ = 421454124000. Its totient is φ = 36821385216.

The previous prime is 132341508071. The next prime is 132341508163. The reversal of 132341508096 is 690805143231.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 665032605 + ... + 665032803.

It is an arithmetic number, because the mean of its divisors is an integer number (975588250).

Almost surely, 2132341508096 is an apocalyptic number.

132341508096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132341508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210727062000).

132341508096 is an abundant number, since it is smaller than the sum of its proper divisors (289112615904).

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

132341508096 is an equidigital number, since it uses as much as digits as its factorization.

132341508096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 132341508096 in words is "one hundred thirty-two billion, three hundred forty-one million, five hundred eight thousand, ninety-six".