132301423010400 has 288 divisors, whose sum is σ = 492625225467648. Its totient is φ = 30211819468800.

The previous prime is 132301423010381. The next prime is 132301423010423. The reversal of 132301423010400 is 4010324103231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14113639 + ... + 21535961.

It is an arithmetic number, because the mean of its divisors is an integer number (1710504255096).

Almost surely, 2^{132301423010400} is an apocalyptic number.

132301423010400 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 132301423010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246312612733824).

132301423010400 is an abundant number, since it is smaller than the sum of its proper divisors (360323802457248).

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

132301423010400 is a wasteful number, since it uses less digits than its factorization.

132301423010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423414 (or 7423401 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132301423010400 its reverse (4010324103231), we get a palindrome (136311747113631).

The spelling of 132301423010400 in words is "one hundred thirty-two trillion, three hundred one billion, four hundred twenty-three million, ten thousand, four hundred".