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132133202976 = 253192937181373
BaseRepresentation
bin111101100001111000…
…0001010110000100000
3110122001120221011222110
41323003300022300200
54131102044443401
6140411241035320
712355245460005
oct1730360126040
9418046834873
10132133202976
11510458260a5
1221737185b40
13c5c9b19508
1465769198ac
1536852889d6
hex1ec3c0ac20

132133202976 has 384 divisors, whose sum is σ = 391091500800. Its totient is φ = 38877511680.

The previous prime is 132133202923. The next prime is 132133202977. The reversal of 132133202976 is 679202331231.

It is not an unprimeable number, because it can be changed into a prime (132133202977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354244326 + ... + 354244698.

It is an arithmetic number, because the mean of its divisors is an integer number (1018467450).

Almost surely, 2132133202976 is an apocalyptic number.

132133202976 is a gapful number since it is divisible by the number (16) 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 132133202976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195545750400).

132133202976 is an abundant number, since it is smaller than the sum of its proper divisors (258958297824).

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

132133202976 is a wasteful number, since it uses less digits than its factorization.

132133202976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 132133202976 in words is "one hundred thirty-two billion, one hundred thirty-three million, two hundred two thousand, nine hundred seventy-six".