135252401520 has 160 divisors (see below), whose sum is σ = 426346069248. Its totient is φ = 35461730304.

The previous prime is 135252401447. The next prime is 135252401539. The reversal of 135252401520 is 25104252531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8788072 + ... + 8803448.

Almost surely, 2^135252401520 is an apocalyptic number.

135252401520 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 135252401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213173034624).

135252401520 is an abundant number, since it is smaller than the sum of its proper divisors (291093667728).

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

135252401520 is a wasteful number, since it uses less digits than its factorization.

135252401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16007 (or 16001 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 135252401520 in words is "one hundred thirty-five billion, two hundred fifty-two million, four hundred one thousand, five hundred twenty".