135527730520 has 128 divisors (see below), whose sum is σ = 376030448640. Its totient is φ = 42809679360.

The previous prime is 135527730431. The next prime is 135527730557. The reversal of 135527730520 is 25037725531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1868125 + ... + 1939315.

It is an arithmetic number, because the mean of its divisors is an integer number (2937737880).

Almost surely, 2^135527730520 is an apocalyptic number.

135527730520 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 135527730520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188015224320).

135527730520 is an abundant number, since it is smaller than the sum of its proper divisors (240502718120).

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

135527730520 is a wasteful number, since it uses less digits than its factorization.

135527730520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71745 (or 71741 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 40.

The spelling of 135527730520 in words is "one hundred thirty-five billion, five hundred twenty-seven million, seven hundred thirty thousand, five hundred twenty".