132197307088896 has 1536 divisors, whose sum is σ = 467552904000000. Its totient is φ = 37306358562816.

The previous prime is 132197307088871. The next prime is 132197307088921. The reversal of 132197307088896 is 698880703791231.

132197307088896 is a `hidden beast` number, since 1 + 321 + 9 + 73 + 0 + 70 + 8 + 88 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (132197307088871) and next prime (132197307088921).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×132197307088896³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264924462855 + ... + 264924463353.

It is an arithmetic number, because the mean of its divisors is an integer number (304396421875).

Almost surely, 2^{132197307088896} is an apocalyptic number.

132197307088896 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 132197307088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233776452000000).

132197307088896 is an abundant number, since it is smaller than the sum of its proper divisors (335355596911104).

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

132197307088896 is an frugal number, since it uses more digits than its factorization.

132197307088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 132197307088896 in words is "one hundred thirty-two trillion, one hundred ninety-seven billion, three hundred seven million, eighty-eight thousand, eight hundred ninety-six".