135650548518240 has 384 divisors, whose sum is σ = 489736558080000. Its totient is φ = 30917330712576.

The previous prime is 135650548518197. The next prime is 135650548518283. The reversal of 135650548518240 is 42815845056531.

135650548518240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135650548518197) and next prime (135650548518283).

It is a super-2 number, since 2×135650548518240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8123265411 + ... + 8123282109.

It is an arithmetic number, because the mean of its divisors is an integer number (1275355620000).

Almost surely, 2^{135650548518240} is an apocalyptic number.

135650548518240 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 135650548518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244868279040000).

135650548518240 is an abundant number, since it is smaller than the sum of its proper divisors (354086009561760).

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

135650548518240 is a wasteful number, since it uses less digits than its factorization.

135650548518240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23482 (or 23474 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 57.

The spelling of 135650548518240 in words is "one hundred thirty-five trillion, six hundred fifty billion, five hundred forty-eight million, five hundred eighteen thousand, two hundred forty".