135010800 has 210 divisors, whose sum is σ = 487373072. Its totient is φ = 35925120.

The previous prime is 135010793. The next prime is 135010807. The reversal of 135010800 is 8010531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135010793) and next prime (135010807).

It is a super-2 number, since 2×135010800² = 36455832233280000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135010807) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 291369 + ... + 291831.

Almost surely, 2^135010800 is an apocalyptic number.

135010800 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 135010800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243686536).

135010800 is an abundant number, since it is smaller than the sum of its proper divisors (352362272).

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

135010800 is an equidigital number, since it uses as much as digits as its factorization.

135010800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 135010800 is about 11619.4147873290. The cubic root of 135010800 is about 513.0064634458.

The spelling of 135010800 in words is "one hundred thirty-five million, ten thousand, eight hundred".