132010905600 has 1248 divisors, whose sum is σ = 585033984000. Its totient is φ = 28506193920.

The previous prime is 132010905577. The next prime is 132010905671. The reversal of 132010905600 is 6509010231.

132010905600 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 10 + 90 + 560 + 0 = 666.

It is a super-2 number, since 2×132010905600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367718221 + ... + 367718579.

Almost surely, 2^132010905600 is an apocalyptic number.

132010905600 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 132010905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292516992000).

132010905600 is an abundant number, since it is smaller than the sum of its proper divisors (453023078400).

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

132010905600 is a wasteful number, since it uses less digits than its factorization.

132010905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 132010905600 its reverse (6509010231), we get a palindrome (138519915831).

The spelling of 132010905600 in words is "one hundred thirty-two billion, ten million, nine hundred five thousand, six hundred".