132552196416 has 224 divisors, whose sum is σ = 396178227200. Its totient is φ = 43451665920.

The previous prime is 132552196411. The next prime is 132552196457. The reversal of 132552196416 is 614691255231.

It is a happy number.

132552196416 is a `hidden beast` number, since 1 + 3 + 2 + 552 + 1 + 96 + 4 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132552196411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36992961 + ... + 36996543.

It is an arithmetic number, because the mean of its divisors is an integer number (1768652800).

Almost surely, 2^132552196416 is an apocalyptic number.

132552196416 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 132552196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198089113600).

132552196416 is an abundant number, since it is smaller than the sum of its proper divisors (263626030784).

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

132552196416 is a wasteful number, since it uses less digits than its factorization.

132552196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3938 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 132552196416 in words is "one hundred thirty-two billion, five hundred fifty-two million, one hundred ninety-six thousand, four hundred sixteen".