132920400 has 120 divisors (see below), whose sum is σ = 428436864. Its totient is φ = 35225600.

The previous prime is 132920393. The next prime is 132920407. The reversal of 132920400 is 4029231.

It is an interprime number because it is at equal distance from previous prime (132920393) and next prime (132920407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132920407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308185 + ... + 308615.

Almost surely, 2^132920400 is an apocalyptic number.

132920400 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 132920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214218432).

132920400 is an abundant number, since it is smaller than the sum of its proper divisors (295516464).

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

132920400 is a wasteful number, since it uses less digits than its factorization.

132920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 132920400 is about 11529.1109804703. The cubic root of 132920400 is about 510.3450183664.

Adding to 132920400 its reverse (4029231), we get a palindrome (136949631).

The spelling of 132920400 in words is "one hundred thirty-two million, nine hundred twenty thousand, four hundred".