132874830400 has 189 divisors, whose sum is σ = 354545940513. Its totient is φ = 48991488000.

The previous prime is 132874830383. The next prime is 132874830409. The reversal of 132874830400 is 4038478231.

The square root of 132874830400 is 364520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 83142262336 + 49732568064 = 288344^2 + 223008^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132874830409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 189550050 + ... + 189550750.

Almost surely, 2^132874830400 is an apocalyptic number.

132874830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132874830400 is the 364520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132874830400

132874830400 is an abundant number, since it is smaller than the sum of its proper divisors (221671110113).

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

132874830400 is an frugal number, since it uses more digits than its factorization.

132874830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 132874830400 in words is "one hundred thirty-two billion, eight hundred seventy-four million, eight hundred thirty thousand, four hundred".