132151141636416 has 672 divisors, whose sum is σ = 462122469768960. Its totient is φ = 35245404979200.

The previous prime is 132151141636379. The next prime is 132151141636421. The reversal of 132151141636416 is 614636141151231.

It is a happy number.

132151141636416 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 1 + 1 + 4 + 1 + 636 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 23426896956 + ... + 23426902596.

It is an arithmetic number, because the mean of its divisors is an integer number (687682246680).

Almost surely, 2^{132151141636416} is an apocalyptic number.

132151141636416 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 132151141636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231061234884480).

132151141636416 is an abundant number, since it is smaller than the sum of its proper divisors (329971328132544).

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

132151141636416 is a wasteful number, since it uses less digits than its factorization.

132151141636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423 (or 8410 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

Adding to 132151141636416 its reverse (614636141151231), we get a palindrome (746787282787647).

The spelling of 132151141636416 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, one hundred forty-one million, six hundred thirty-six thousand, four hundred sixteen".