132077409408 has 256 divisors, whose sum is σ = 447107616000. Its totient is φ = 37600174080.

The previous prime is 132077409407. The next prime is 132077409461. The reversal of 132077409408 is 804904770231.

132077409408 is a `hidden beast` number, since 132 + 0 + 77 + 40 + 9 + 408 = 666.

132077409408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132077409407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6788238 + ... + 6807666.

It is an arithmetic number, because the mean of its divisors is an integer number (1746514125).

Almost surely, 2^132077409408 is an apocalyptic number.

132077409408 is a gapful number since it is divisible by the number (18) 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 132077409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223553808000).

132077409408 is an abundant number, since it is smaller than the sum of its proper divisors (315030206592).

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

132077409408 is a wasteful number, since it uses less digits than its factorization.

132077409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19740 (or 19722 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 132077409408 in words is "one hundred thirty-two billion, seventy-seven million, four hundred nine thousand, four hundred eight".