135078300 has 216 divisors, whose sum is σ = 505644720. Its totient is φ = 30844800.

The previous prime is 135078289. The next prime is 135078341. The reversal of 135078300 is 3870531.

135078300 is a `hidden beast` number, since 1 + 350 + 7 + 8 + 300 = 666.

It is a super-2 number, since 2×135078300² = 36492294261780000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131790 + ... + 132810.

Almost surely, 2^135078300 is an apocalyptic number.

135078300 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 135078300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252822360).

135078300 is an abundant number, since it is smaller than the sum of its proper divisors (370566420).

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

135078300 is a wasteful number, since it uses less digits than its factorization.

135078300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135078300 is about 11622.3190456982. The cubic root of 135078300 is about 513.0919434396.

The spelling of 135078300 in words is "one hundred thirty-five million, seventy-eight thousand, three hundred".