132700415360352 has 288 divisors, whose sum is σ = 406910217313152. Its totient is φ = 37755515621376.

The previous prime is 132700415360327. The next prime is 132700415360371. The reversal of 132700415360352 is 253063514007231.

It is a happy number.

132700415360352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 2067371203 + ... + 2067435389.

It is an arithmetic number, because the mean of its divisors is an integer number (1412882699004).

Almost surely, 2^{132700415360352} is an apocalyptic number.

132700415360352 is a gapful number since it is divisible by the number (12) 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 132700415360352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203455108656576).

132700415360352 is an abundant number, since it is smaller than the sum of its proper divisors (274209801952800).

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

132700415360352 is a wasteful number, since it uses less digits than its factorization.

132700415360352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66050 (or 66035 counting only the distinct ones).

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

Adding to 132700415360352 its reverse (253063514007231), we get a palindrome (385763929367583).

The spelling of 132700415360352 in words is "one hundred thirty-two trillion, seven hundred billion, four hundred fifteen million, three hundred sixty thousand, three hundred fifty-two".