135347755140 has 240 divisors, whose sum is σ = 481319065920. Its totient is φ = 31562784000.

The previous prime is 135347755111. The next prime is 135347755141. The reversal of 135347755140 is 41557743531.

135347755140 is a `hidden beast` number, since 1 + 3 + 53 + 4 + 7 + 7 + 551 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (135347755141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231015 + ... + 569265.

It is an arithmetic number, because the mean of its divisors is an integer number (2005496108).

Almost surely, 2^135347755140 is an apocalyptic number.

135347755140 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 135347755140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240659532960).

135347755140 is an abundant number, since it is smaller than the sum of its proper divisors (345971310780).

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

135347755140 is a wasteful number, since it uses less digits than its factorization.

135347755140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338304 (or 338293 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 135347755140 in words is "one hundred thirty-five billion, three hundred forty-seven million, seven hundred fifty-five thousand, one hundred forty".