132145223430 has 256 divisors, whose sum is σ = 362187915264. Its totient is φ = 30576000000.

The previous prime is 132145223411. The next prime is 132145223443. The reversal of 132145223430 is 34322541231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145054675 + ... + 145055585.

It is an arithmetic number, because the mean of its divisors is an integer number (1414796544).

Almost surely, 2^132145223430 is an apocalyptic number.

132145223430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132145223430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181093957632).

132145223430 is an abundant number, since it is smaller than the sum of its proper divisors (230042691834).

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

132145223430 is a wasteful number, since it uses less digits than its factorization.

132145223430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 132145223430 its reverse (34322541231), we get a palindrome (166467764661).

The spelling of 132145223430 in words is "one hundred thirty-two billion, one hundred forty-five million, two hundred twenty-three thousand, four hundred thirty".