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132155251200 = 2932527163883
BaseRepresentation
bin111101100010100010…
…0010001101000000000
3110122010010102100110100
41323011010101220000
54131123221014300
6140413345402400
712355634046360
oct1730504215000
9418103370410
10132155251200
1151057215275
1221742639400
13c601568cbb
1465798189a0
153687191700
hex1ec5111a00

132155251200 has 360 divisors, whose sum is σ = 540514342368. Its totient is φ = 30206730240.

The previous prime is 132155251181. The next prime is 132155251259. The reversal of 132155251200 is 2152551231.

132155251200 is a `hidden beast` number, since 1 + 3 + 2 + 15 + 525 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 724459 + ... + 888341.

Almost surely, 2132155251200 is an apocalyptic number.

132155251200 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 132155251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270257171184).

132155251200 is an abundant number, since it is smaller than the sum of its proper divisors (408359091168).

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

132155251200 is a wasteful number, since it uses less digits than its factorization.

132155251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163924 (or 163900 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 132155251200 in words is "one hundred thirty-two billion, one hundred fifty-five million, two hundred fifty-one thousand, two hundred".