135503800 has 48 divisors (see below), whose sum is σ = 317010960. Its totient is φ = 53863680.

The previous prime is 135503789. The next prime is 135503803. The reversal of 135503800 is 8305531.

It is a happy number.

135503800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135503800² = 36722559628880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135503803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31372 + ... + 35428.

It is an arithmetic number, because the mean of its divisors is an integer number (6604395).

Almost surely, 2^135503800 is an apocalyptic number.

135503800 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 135503800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505480).

135503800 is an abundant number, since it is smaller than the sum of its proper divisors (181507160).

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

135503800 is a wasteful number, since it uses less digits than its factorization.

135503800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 135503800 is about 11640.6099496547. The cubic root of 135503800 is about 513.6301295232.

The spelling of 135503800 in words is "one hundred thirty-five million, five hundred three thousand, eight hundred".