132053533330400 has 144 divisors (see below), whose sum is σ = 351862872334848. Its totient is φ = 47994847680000.

The previous prime is 132053533330351. The next prime is 132053533330423. The reversal of 132053533330400 is 4033335350231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13323059 + ... + 21014541.

It is an arithmetic number, because the mean of its divisors is an integer number (2443492168992).

Almost surely, 2^{132053533330400} is an apocalyptic number.

132053533330400 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 132053533330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175931436167424).

132053533330400 is an abundant number, since it is smaller than the sum of its proper divisors (219809339004448).

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

132053533330400 is a wasteful number, since it uses less digits than its factorization.

132053533330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693465 (or 7693452 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 35.

Adding to 132053533330400 its reverse (4033335350231), we get a palindrome (136086868680631).

The spelling of 132053533330400 in words is "one hundred thirty-two trillion, fifty-three billion, five hundred thirty-three million, three hundred thirty thousand, four hundred".