132542137728 has 1536 divisors, whose sum is σ = 548196633600. Its totient is φ = 31039303680.

The previous prime is 132542137723. The next prime is 132542137757. The reversal of 132542137728 is 827731245231.

132542137728 is a `hidden beast` number, since 1 + 3 + 2 + 542 + 1 + 37 + 72 + 8 = 666.

Its product of digits (564480) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132542137723) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3082375275 + ... + 3082375317.

It is an arithmetic number, because the mean of its divisors is an integer number (356898850).

Almost surely, 2^132542137728 is an apocalyptic number.

132542137728 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 132542137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274098316800).

132542137728 is an abundant number, since it is smaller than the sum of its proper divisors (415654495872).

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

132542137728 is an equidigital number, since it uses as much as digits as its factorization.

132542137728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 79 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 132542137728 in words is "one hundred thirty-two billion, five hundred forty-two million, one hundred thirty-seven thousand, seven hundred twenty-eight".