135421520 has 80 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 49132032.

The previous prime is 135421501. The next prime is 135421553. The reversal of 135421520 is 25124531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×135421520² = 36677976158220800, which 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 15 ways as a sum of consecutive naturals, for example, 60257 + ... + 62463.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 2^135421520 is an apocalyptic number.

135421520 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 135421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

135421520 is an abundant number, since it is smaller than the sum of its proper divisors (209556400).

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

135421520 is a wasteful number, since it uses less digits than its factorization.

135421520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 135421520 is about 11637.0752339237. The cubic root of 135421520 is about 513.5261470915.

The spelling of 135421520 in words is "one hundred thirty-five million, four hundred twenty-one thousand, five hundred twenty".