135267300 has 288 divisors, whose sum is σ = 527466240. Its totient is φ = 29030400.

The previous prime is 135267287. The next prime is 135267311. The reversal of 135267300 is 3762531.

It is a happy number.

135267300 is a `hidden beast` number, since 1 + 352 + 6 + 7 + 300 = 666.

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 95 ways as a sum of consecutive naturals, for example, 321090 + ... + 321510.

It is an arithmetic number, because the mean of its divisors is an integer number (1831480).

Almost surely, 2^135267300 is an apocalyptic number.

135267300 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 135267300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263733120).

135267300 is an abundant number, since it is smaller than the sum of its proper divisors (392198940).

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

135267300 is a wasteful number, since it uses less digits than its factorization.

135267300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 135267300 is about 11630.4471109240. The cubic root of 135267300 is about 513.3311360263.

The spelling of 135267300 in words is "one hundred thirty-five million, two hundred sixty-seven thousand, three hundred".