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132114230200032 = 253107229289719387

132114230200032 has 192 divisors, whose sum is σ = 351709034584320. Its totient is φ = 43418764025856.

The previous prime is 132114230200031. The next prime is 132114230200103. The reversal of 132114230200032 is 230002032411231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132114230199975 and 132114230200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114230200031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6814568643 + ... + 6814588029.

It is an arithmetic number, because the mean of its divisors is an integer number (1831817888460).

Almost surely, 2132114230200032 is an apocalyptic number.

132114230200032 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 132114230200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175854517292160).

132114230200032 is an abundant number, since it is smaller than the sum of its proper divisors (219594804384288).

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

132114230200032 is a wasteful number, since it uses less digits than its factorization.

132114230200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22633 (or 22625 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132114230200032 its reverse (230002032411231), we get a palindrome (362116262611263).

The spelling of 132114230200032 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred thirty million, two hundred thousand, thirty-two".