132146961408 has 1232 divisors, whose sum is σ = 524081783040. Its totient is φ = 32517365760.

The previous prime is 132146961371. The next prime is 132146961409. The reversal of 132146961408 is 804169641231.

132146961408 is a `hidden beast` number, since 1 + 3 + 21 + 4 + 6 + 9 + 614 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132146961409) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6955103223 + ... + 6955103241.

Almost surely, 2^132146961408 is an apocalyptic number.

132146961408 is a gapful number since it is divisible by the number (18) 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 132146961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262040891520).

132146961408 is an abundant number, since it is smaller than the sum of its proper divisors (391934821632).

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

132146961408 is an frugal number, since it uses more digits than its factorization.

132146961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 132146961408 in words is "one hundred thirty-two billion, one hundred forty-six million, nine hundred sixty-one thousand, four hundred eight".