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132155527680 = 2932511521447
BaseRepresentation
bin111101100010100010…
…1010101001000000000
3110122010010221101201100
41323011011111020000
54131123303341210
6140413355334400
712355636310421
oct1730505251000
9418103841640
10132155527680
1151057393a70
1221742751400
13c601634ab7
14657988b648
1536871e85c0
hex1ec5155200

132155527680 has 240 divisors, whose sum is σ = 499301060544. Its totient is φ = 32037642240.

The previous prime is 132155527667. The next prime is 132155527717. The reversal of 132155527680 is 86725551231.

132155527680 is a `hidden beast` number, since 1 + 3 + 2 + 15 + 552 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7284 + ... + 514163.

Almost surely, 2132155527680 is an apocalyptic number.

132155527680 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 132155527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249650530272).

132155527680 is an abundant number, since it is smaller than the sum of its proper divisors (367145532864).

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

132155527680 is a wasteful number, since it uses less digits than its factorization.

132155527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521487 (or 521468 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 132155527680 in words is "one hundred thirty-two billion, one hundred fifty-five million, five hundred twenty-seven thousand, six hundred eighty".