132706504000 has 672 divisors, whose sum is σ = 409794577920. Its totient is φ = 42341376000.

The previous prime is 132706503971. The next prime is 132706504009. The reversal of 132706504000 is 405607231.

It is a super-2 number, since 2×132706504000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 132706504000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132706504009) by changing a digit.

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, 369655821 + ... + 369656179.

It is an arithmetic number, because the mean of its divisors is an integer number (609813360).

Almost surely, 2^132706504000 is an apocalyptic number.

132706504000 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 132706504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897288960).

132706504000 is an abundant number, since it is smaller than the sum of its proper divisors (277088073920).

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

132706504000 is a wasteful number, since it uses less digits than its factorization.

132706504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 132706504000 in words is "one hundred thirty-two billion, seven hundred six million, five hundred four thousand".