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132955361280 = 21233573701
BaseRepresentation
bin111101111010011000…
…0011101000000000000
3110201011212222011011000
41323310300131000000
54134243033030110
6141025010452000
712414520632000
oct1736460350000
9421155864130
10132955361280
1151427920875
1221926594000
13c6cb25a011
146613bb2000
1536d253b1c0
hex1ef4c1d000

132955361280 has 832 divisors, whose sum is σ = 552007872000. Its totient is φ = 30346444800.

The previous prime is 132955361261. The next prime is 132955361311. The reversal of 132955361280 is 82163559231.

132955361280 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 5 + 5 + 361 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189664930 + ... + 189665630.

It is an arithmetic number, because the mean of its divisors is an integer number (663471000).

Almost surely, 2132955361280 is an apocalyptic number.

132955361280 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 132955361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276003936000).

132955361280 is an abundant number, since it is smaller than the sum of its proper divisors (419052510720).

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

132955361280 is an frugal number, since it uses more digits than its factorization.

132955361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 132955361280 in words is "one hundred thirty-two billion, nine hundred fifty-five million, three hundred sixty-one thousand, two hundred eighty".