132550400 has 108 divisors (see below), whose sum is σ = 332661000. Its totient is φ = 52285440.

The previous prime is 132550373. The next prime is 132550409. The reversal of 132550400 is 4055231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132550409) 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 11 ways as a sum of consecutive naturals, for example, 889526 + ... + 889674.

Almost surely, 2^132550400 is an apocalyptic number.

132550400 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 132550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166330500).

132550400 is an abundant number, since it is smaller than the sum of its proper divisors (200110600).

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

132550400 is a wasteful number, since it uses less digits than its factorization.

132550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 132550400 is about 11513.0534611805. The cubic root of 132550400 is about 509.8710426224.

The spelling of 132550400 in words is "one hundred thirty-two million, five hundred fifty thousand, four hundred".