132754003200 has 2592 divisors, whose sum is σ = 649496207360. Its totient is φ = 25082265600.

The previous prime is 132754003183. The next prime is 132754003201. The reversal of 132754003200 is 2300457231.

It is a super-2 number, since 2×132754003200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132754003201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3087302379 + ... + 3087302421.

Almost surely, 2^132754003200 is an apocalyptic number.

132754003200 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 132754003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324748103680).

132754003200 is an abundant number, since it is smaller than the sum of its proper divisors (516742204160).

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

132754003200 is a wasteful number, since it uses less digits than its factorization.

132754003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 132754003200 in words is "one hundred thirty-two billion, seven hundred fifty-four million, three thousand, two hundred".