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132969600000 = 210375519
BaseRepresentation
bin111101111010110011…
…0110001010000000000
3110201012212202120000000
41323311212301100000
54134310204200000
6141030240000000
712415052644206
oct1736546612000
9421185676000
10132969600000
1151434966606
122192b300000
13c7011a3cb3
146615a3b076
1536d3900000
hex1ef59b1400

132969600000 has 1056 divisors, whose sum is σ = 524510179200. Its totient is φ = 33592320000.

The previous prime is 132969599999. The next prime is 132969600007. The reversal of 132969600000 is 6969231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132969600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6998399991 + ... + 6998400009.

Almost surely, 2132969600000 is an apocalyptic number.

132969600000 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 132969600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262255089600).

132969600000 is an abundant number, since it is smaller than the sum of its proper divisors (391540579200).

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

132969600000 is an frugal number, since it uses more digits than its factorization.

132969600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

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

The spelling of 132969600000 in words is "one hundred thirty-two billion, nine hundred sixty-nine million, six hundred thousand".