135145800 has 192 divisors, whose sum is σ = 482112000. Its totient is φ = 34755840.

The previous prime is 135145783. The next prime is 135145819. The reversal of 135145800 is 8541531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156169 + ... + 157031.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2^135145800 is an apocalyptic number.

135145800 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 135145800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056000).

135145800 is an abundant number, since it is smaller than the sum of its proper divisors (346966200).

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

135145800 is a wasteful number, since it uses less digits than its factorization.

135145800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 135145800 is about 11625.2225785144. Note that the first 3 decimals coincide. The cubic root of 135145800 is about 513.1773949612.

It can be divided in two parts, 135 and 145800, that multiplied together give a cube (19683000 = 270³).

The spelling of 135145800 in words is "one hundred thirty-five million, one hundred forty-five thousand, eight hundred".