132905565936 has 400 divisors, whose sum is σ = 455044312800. Its totient is φ = 36919203840.

The previous prime is 132905565907. The next prime is 132905566021. The reversal of 132905565936 is 639565509231.

132905565936 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 0 + 556 + 59 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27611466 + ... + 27616278.

It is an arithmetic number, because the mean of its divisors is an integer number (1137610782).

Almost surely, 2^132905565936 is an apocalyptic number.

132905565936 is a gapful number since it is divisible by the number (16) 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 132905565936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227522156400).

132905565936 is an abundant number, since it is smaller than the sum of its proper divisors (322138746864).

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

132905565936 is a wasteful number, since it uses less digits than its factorization.

132905565936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 54.

The spelling of 132905565936 in words is "one hundred thirty-two billion, nine hundred five million, five hundred sixty-five thousand, nine hundred thirty-six".