135514244640 has 192 divisors, whose sum is σ = 445877332992. Its totient is φ = 34531200000.

The previous prime is 135514244627. The next prime is 135514244651. The reversal of 135514244640 is 46442415531.

It is a super-2 number, since 2×135514244640² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12039015 + ... + 12050265.

It is an arithmetic number, because the mean of its divisors is an integer number (2322277776).

Almost surely, 2^135514244640 is an apocalyptic number.

135514244640 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 135514244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222938666496).

135514244640 is an abundant number, since it is smaller than the sum of its proper divisors (310363088352).

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

135514244640 is a wasteful number, since it uses less digits than its factorization.

135514244640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12383 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 135514244640 in words is "one hundred thirty-five billion, five hundred fourteen million, two hundred forty-four thousand, six hundred forty".