135907200 has 576 divisors, whose sum is σ = 588764400. Its totient is φ = 30412800.

The previous prime is 135907199. The next prime is 135907201. The reversal of 135907200 is 2709531.

135907200 is a `hidden beast` number, since 1 + 3 + 590 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135907199) and next prime (135907201).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135907201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10454394 + ... + 10454406.

Almost surely, 2^135907200 is an apocalyptic number.

135907200 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 135907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294382200).

135907200 is an abundant number, since it is smaller than the sum of its proper divisors (452857200).

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

135907200 is a wasteful number, since it uses less digits than its factorization.

135907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 135907200 is about 11657.9243435528. The cubic root of 135907200 is about 514.1393234133.

The spelling of 135907200 in words is "one hundred thirty-five million, nine hundred seven thousand, two hundred".