135851520 has 360 divisors, whose sum is σ = 533195784. Its totient is φ = 29417472.

The previous prime is 135851509. The next prime is 135851533. The reversal of 135851520 is 25158531.

135851520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 7150071 + ... + 7150089.

Almost surely, 2^135851520 is an apocalyptic number.

135851520 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 135851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266597892).

135851520 is an abundant number, since it is smaller than the sum of its proper divisors (397344264).

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

135851520 is an equidigital number, since it uses as much as digits as its factorization.

135851520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 135851520 is about 11655.5360237099. The cubic root of 135851520 is about 514.0691010168.

Multiplying 135851520 by its sum of digits (30), we get a square (4075545600 = 63840²).

135851520 divided by its sum of digits (30) gives a square (4528384 = 2128²).

The spelling of 135851520 in words is "one hundred thirty-five million, eight hundred fifty-one thousand, five hundred twenty".