132525141312000 has 640 divisors, whose sum is σ = 457004306423808. Its totient is φ = 34044272640000.

The previous prime is 132525141311939. The next prime is 132525141312001. The reversal of 132525141312000 is 213141525231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132525141312001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 717411649 + ... + 717596351.

Almost surely, 2^{132525141312000} is an apocalyptic number.

132525141312000 is a gapful number since it is divisible by the number (10) 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 132525141312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228502153211904).

132525141312000 is an abundant number, since it is smaller than the sum of its proper divisors (324479165111808).

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

132525141312000 is a wasteful number, since it uses less digits than its factorization.

132525141312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184877 (or 184851 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 132525141312000 its reverse (213141525231), we get a palindrome (132738282837231).

The spelling of 132525141312000 in words is "one hundred thirty-two trillion, five hundred twenty-five billion, one hundred forty-one million, three hundred twelve thousand".