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132667932672 = 221341171
BaseRepresentation
bin111101110001110100…
…0000000000000000000
3110200102212010021020000
41323203220000000000
54133200442321142
6140540302120000
712404430551502
oct1734350000000
9420385107200
10132667932672
115129a653470
1221866280000
13c683841312
1465c7951d72
1536b71b214c
hex1ee3a00000

132667932672 has 440 divisors, whose sum is σ = 438489212832. Its totient is φ = 39636172800.

The previous prime is 132667932653. The next prime is 132667932713. The reversal of 132667932672 is 276239766231.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1868562397 + ... + 1868562467.

Almost surely, 2132667932672 is an apocalyptic number.

132667932672 is a gapful number since it is divisible by the number (12) 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 132667932672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219244606416).

132667932672 is an abundant number, since it is smaller than the sum of its proper divisors (305821280160).

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

132667932672 is an frugal number, since it uses more digits than its factorization.

132667932672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 87 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 132667932672 in words is "one hundred thirty-two billion, six hundred sixty-seven million, nine hundred thirty-two thousand, six hundred seventy-two".