135114737520 has 640 divisors, whose sum is σ = 515692707840. Its totient is φ = 28602040320.

The previous prime is 135114737519. The next prime is 135114737539. The reversal of 135114737520 is 25737411531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 206913514 + ... + 206914166.

It is an arithmetic number, because the mean of its divisors is an integer number (805769856).

Almost surely, 2^135114737520 is an apocalyptic number.

135114737520 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 135114737520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257846353920).

135114737520 is an abundant number, since it is smaller than the sum of its proper divisors (380577970320).

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

135114737520 is a wasteful number, since it uses less digits than its factorization.

135114737520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 135114737520 in words is "one hundred thirty-five billion, one hundred fourteen million, seven hundred thirty-seven thousand, five hundred twenty".