135412132140 has 72 divisors (see below), whose sum is σ = 411181662528. Its totient is φ = 36071965440.

The previous prime is 135412132127. The next prime is 135412132199. The reversal of 135412132140 is 41231214531.

135412132140 is a `hidden beast` number, since 1 + 35 + 412 + 1 + 3 + 214 + 0 = 666.

It is a super-3 number, since 3×135412132140³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223156 + ... + 566235.

It is an arithmetic number, because the mean of its divisors is an integer number (5710856424).

Almost surely, 2^135412132140 is an apocalyptic number.

135412132140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135412132140 is an abundant number, since it is smaller than the sum of its proper divisors (275769530388).

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

135412132140 is a wasteful number, since it uses less digits than its factorization.

135412132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790359 (or 790354 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 135412132140 its reverse (41231214531), we get a palindrome (176643346671).

The spelling of 135412132140 in words is "one hundred thirty-five billion, four hundred twelve million, one hundred thirty-two thousand, one hundred forty".