132484590950400 has 1728 divisors, whose sum is σ = 519806505254400. Its totient is φ = 32052817428480.

The previous prime is 132484590950389. The next prime is 132484590950449. The reversal of 132484590950400 is 4059095484231.

It is a happy number.

132484590950400 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 8 + 4 + 590 + 9 + 5 + 0 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89095218457 + ... + 89095219943.

It is an arithmetic number, because the mean of its divisors is an integer number (300813949800).

Almost surely, 2^{132484590950400} is an apocalyptic number.

132484590950400 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 132484590950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259903252627200).

132484590950400 is an abundant number, since it is smaller than the sum of its proper divisors (387321914304000).

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

132484590950400 is a wasteful number, since it uses less digits than its factorization.

132484590950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 132484590950400 in words is "one hundred thirty-two trillion, four hundred eighty-four billion, five hundred ninety million, nine hundred fifty thousand, four hundred".