135053100 has 432 divisors, whose sum is σ = 557339328. Its totient is φ = 26542080.

The previous prime is 135053089. The next prime is 135053111. The reversal of 135053100 is 1350531.

It is a happy number.

135053100 is a `hidden beast` number, since 1 + 350 + 5 + 310 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135053089) and next prime (135053111).

It is a super-2 number, since 2×135053100² = 36478679639220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1392252 + ... + 1392348.

Almost surely, 2^135053100 is an apocalyptic number.

135053100 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 135053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278669664).

135053100 is an abundant number, since it is smaller than the sum of its proper divisors (422286228).

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

135053100 is a wasteful number, since it uses less digits than its factorization.

135053100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 135053100 is about 11621.2348741431. The cubic root of 135053100 is about 513.0600342404.

Multiplying 135053100 by its reverse (1350531), we get a square (182393398196100 = 13505310²).

135053100 divided by its reverse (1350531) gives a square (100 = 10²).

The spelling of 135053100 in words is "one hundred thirty-five million, fifty-three thousand, one hundred".