132523150400 has 168 divisors, whose sum is σ = 335553628104. Its totient is φ = 51490816000.

The previous prime is 132523150399. The next prime is 132523150421. The reversal of 132523150400 is 4051325231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3607684096 + 128915466304 = 60064^2 + 359048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132523150400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8557064 + ... + 8572536.

Almost surely, 2^132523150400 is an apocalyptic number.

132523150400 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 132523150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167776814052).

132523150400 is an abundant number, since it is smaller than the sum of its proper divisors (203030477704).

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

132523150400 is a wasteful number, since it uses less digits than its factorization.

132523150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15649 (or 15634 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 132523150400 its reverse (4051325231), we get a palindrome (136574475631).

The spelling of 132523150400 in words is "one hundred thirty-two billion, five hundred twenty-three million, one hundred fifty thousand, four hundred".