132656375040 has 1152 divisors, whose sum is σ = 536868864000. Its totient is φ = 27817574400.

The previous prime is 132656375039. The next prime is 132656375081. The reversal of 132656375040 is 40573656231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 132656374983 and 132656375001.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 878518965 + ... + 878519115.

It is an arithmetic number, because the mean of its divisors is an integer number (466032000).

Almost surely, 2^132656375040 is an apocalyptic number.

132656375040 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 132656375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268434432000).

132656375040 is an abundant number, since it is smaller than the sum of its proper divisors (404212488960).

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

132656375040 is a wasteful number, since it uses less digits than its factorization.

132656375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 132656375040 in words is "one hundred thirty-two billion, six hundred fifty-six million, three hundred seventy-five thousand, forty".