132512671462400 has 1056 divisors, whose sum is σ = 374305084369920. Its totient is φ = 46213300224000.

The previous prime is 132512671462393. The next prime is 132512671462427. The reversal of 132512671462400 is 4264176215231.

It is a super-2 number, since 2×132512671462400² (a number of 29 digits) contains 22 as substring.

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, 76908107939 + ... + 76908109661.

It is an arithmetic number, because the mean of its divisors is an integer number (354455572320).

Almost surely, 2^{132512671462400} is an apocalyptic number.

132512671462400 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 132512671462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187152542184960).

132512671462400 is an abundant number, since it is smaller than the sum of its proper divisors (241792412907520).

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

132512671462400 is a wasteful number, since it uses less digits than its factorization.

132512671462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 132512671462400 in words is "one hundred thirty-two trillion, five hundred twelve billion, six hundred seventy-one million, four hundred sixty-two thousand, four hundred".