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132739853220 = 223551317831489
BaseRepresentation
bin111101110011111101…
…0010110101110100100
3110200121212110012200000
41323213322112232210
54133322400300340
6140551351421300
712406263064422
oct1734772265644
9420555405600
10132739853220
1151327206437
1221886384830
13c695703060
1465d3314112
1536bd66bd30
hex1ee7e96ba4

132739853220 has 576 divisors, whose sum is σ = 482188412160. Its totient is φ = 30361485312.

The previous prime is 132739853201. The next prime is 132739853227. The reversal of 132739853220 is 22358937231.

132739853220 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 3 + 98 + 532 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (132739853227) 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 191 ways as a sum of consecutive naturals, for example, 89146236 + ... + 89147724.

It is an arithmetic number, because the mean of its divisors is an integer number (837132660).

Almost surely, 2132739853220 is an apocalyptic number.

132739853220 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 132739853220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241094206080).

132739853220 is an abundant number, since it is smaller than the sum of its proper divisors (349448558940).

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

132739853220 is a wasteful number, since it uses less digits than its factorization.

132739853220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 132739853220 in words is "one hundred thirty-two billion, seven hundred thirty-nine million, eight hundred fifty-three thousand, two hundred twenty".