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132639120900 = 22325211132344809
BaseRepresentation
bin111101110000111101…
…0000101111000000100
3110200100211220110220100
41323201322011320010
54133121103332100
6140533352404100
712403630632246
oct1734172057004
9420324813810
10132639120900
1151285364790
12218586a6630
13c67a894130
1465c3bb2096
1536b48c0400
hex1ee1e85e04

132639120900 has 432 divisors, whose sum is σ = 509681128320. Its totient is φ = 28390348800.

The previous prime is 132639120871. The next prime is 132639120931. The reversal of 132639120900 is 9021936231.

It is a happy number.

132639120900 is a `hidden beast` number, since 1 + 3 + 2 + 639 + 12 + 0 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2937696 + ... + 2982504.

Almost surely, 2132639120900 is an apocalyptic number.

132639120900 is a gapful number since it is divisible by the number (10) 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 132639120900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254840564160).

132639120900 is an abundant number, since it is smaller than the sum of its proper divisors (377042007420).

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

132639120900 is a wasteful number, since it uses less digits than its factorization.

132639120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44876 (or 44866 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 132639120900 in words is "one hundred thirty-two billion, six hundred thirty-nine million, one hundred twenty thousand, nine hundred".