132526103040 has 960 divisors, whose sum is σ = 519547032576. Its totient is φ = 31038898176.

The previous prime is 132526103033. The next prime is 132526103069. The reversal of 132526103040 is 40301625231.

132526103040 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 2 + 610 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 132526102995 and 132526103013.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 423405924 + ... + 423406236.

Almost surely, 2^132526103040 is an apocalyptic number.

132526103040 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 132526103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259773516288).

132526103040 is an abundant number, since it is smaller than the sum of its proper divisors (387020929536).

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

132526103040 is a wasteful number, since it uses less digits than its factorization.

132526103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 132526103040 its reverse (40301625231), we get a palindrome (172827728271).

The spelling of 132526103040 in words is "one hundred thirty-two billion, five hundred twenty-six million, one hundred three thousand, forty".