135207800 has 384 divisors, whose sum is σ = 449971200. Its totient is φ = 36495360.

The previous prime is 135207769. The next prime is 135207847. The reversal of 135207800 is 8702531.

It is a super-2 number, since 2×135207800² = 36562298361680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 135207800.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5878589 + ... + 5878611.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^135207800 is an apocalyptic number.

135207800 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 135207800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

135207800 is an abundant number, since it is smaller than the sum of its proper divisors (314763400).

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

135207800 is a wasteful number, since it uses less digits than its factorization.

135207800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 135207800 is about 11627.8888883580. Note that the first 6 decimals coincide. The cubic root of 135207800 is about 513.2558587000.

The spelling of 135207800 in words is "one hundred thirty-five million, two hundred seven thousand, eight hundred".