132770077440 has 864 divisors, whose sum is σ = 572676604416. Its totient is φ = 25456803840.

The previous prime is 132770077439. The next prime is 132770077441. The reversal of 132770077440 is 44770077231.

It is an interprime number because it is at equal distance from previous prime (132770077439) and next prime (132770077441).

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 = 132770077392 and 132770077401.

It is not an unprimeable number, because it can be changed into a prime (132770077441) 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, 49968592 + ... + 49971248.

It is an arithmetic number, because the mean of its divisors is an integer number (662820144).

Almost surely, 2^132770077440 is an apocalyptic number.

132770077440 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 132770077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286338302208).

132770077440 is an abundant number, since it is smaller than the sum of its proper divisors (439906526976).

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

132770077440 is a wasteful number, since it uses less digits than its factorization.

132770077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The spelling of 132770077440 in words is "one hundred thirty-two billion, seven hundred seventy million, seventy-seven thousand, four hundred forty".