27145132740 has 288 divisors, whose sum is σ = 93715090560. Its totient is φ = 6352093440.

The previous prime is 27145132739. The next prime is 27145132747. The reversal of 27145132740 is 4723154172.

27145132740 is a `hidden beast` number, since 2 + 71 + 4 + 513 + 2 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27145132695 and 27145132704.

It is not an unprimeable number, because it can be changed into a prime (27145132747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6945867 + ... + 6949773.

It is an arithmetic number, because the mean of its divisors is an integer number (325399620).

Almost surely, 2^27145132740 is an apocalyptic number.

27145132740 is a gapful number since it is divisible by the number (20) 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 27145132740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46857545280).

27145132740 is an abundant number, since it is smaller than the sum of its proper divisors (66569957820).

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

27145132740 is a wasteful number, since it uses less digits than its factorization.

27145132740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 27145132740 in words is "twenty-seven billion, one hundred forty-five million, one hundred thirty-two thousand, seven hundred forty".