132351100416 has 640 divisors, whose sum is σ = 440663224320. Its totient is φ = 39016857600.

The previous prime is 132351100403. The next prime is 132351100417. The reversal of 132351100416 is 614001153231.

It is a happy number.

132351100416 is a `hidden beast` number, since 1 + 3 + 235 + 1 + 10 + 0 + 416 = 666.

It is a super-2 number, since 2×132351100416² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 132351100416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132351100417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269553931 + ... + 269554421.

It is an arithmetic number, because the mean of its divisors is an integer number (688536288).

Almost surely, 2^132351100416 is an apocalyptic number.

132351100416 is a gapful number since it is divisible by the number (16) 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 132351100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220331612160).

132351100416 is an abundant number, since it is smaller than the sum of its proper divisors (308312123904).

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

132351100416 is a wasteful number, since it uses less digits than its factorization.

132351100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 132351100416 its reverse (614001153231), we get a palindrome (746352253647).

The spelling of 132351100416 in words is "one hundred thirty-two billion, three hundred fifty-one million, one hundred thousand, four hundred sixteen".