135357300 has 216 divisors, whose sum is σ = 477719424. Its totient is φ = 31806720.

The previous prime is 135357293. The next prime is 135357329. The reversal of 135357300 is 3753531.

135357300 is a `hidden beast` number, since 1 + 3 + 5 + 357 + 300 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268849 + ... + 269351.

It is an arithmetic number, because the mean of its divisors is an integer number (2211664).

Almost surely, 2^135357300 is an apocalyptic number.

135357300 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 135357300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238859712).

135357300 is an abundant number, since it is smaller than the sum of its proper divisors (342362124).

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

135357300 is a wasteful number, since it uses less digits than its factorization.

135357300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 135357300 is about 11634.3156223303. The cubic root of 135357300 is about 513.4449589524. Note that the first 3 decimals are identical.

It can be divided in two parts, 1353 and 57300, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 135357300 in words is "one hundred thirty-five million, three hundred fifty-seven thousand, three hundred".