132153442446312 has 128 divisors (see below), whose sum is σ = 419613786720000. Its totient is φ = 37751012022528.

The previous prime is 132153442446227. The next prime is 132153442446313. The reversal of 132153442446312 is 213644244351231.

It is a happy number.

132153442446312 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 3 + 4 + 4 + 2 + 4 + 4 + 631 + 2 = 666.

It is a super-2 number, since 2×132153442446312² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132153442446313) 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, 204387 + ... + 16258802.

It is an arithmetic number, because the mean of its divisors is an integer number (3278232708750).

Almost surely, 2^{132153442446312} is an apocalyptic number.

132153442446312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132153442446312 is an abundant number, since it is smaller than the sum of its proper divisors (287460344273688).

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

132153442446312 is a wasteful number, since it uses less digits than its factorization.

132153442446312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16468520 (or 16468510 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

Adding to 132153442446312 its reverse (213644244351231), we get a palindrome (345797686797543).

The spelling of 132153442446312 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred forty-two million, four hundred forty-six thousand, three hundred twelve".