135953550 has 72 divisors (see below), whose sum is σ = 384510360. Its totient is φ = 34344000.

The previous prime is 135953527. The next prime is 135953557. The reversal of 135953550 is 55359531.

135953550 is a `hidden beast` number, since 1 + 3 + 59 + 53 + 550 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135953557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 600 + ... + 16500.

Almost surely, 2^135953550 is an apocalyptic number.

135953550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135953550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192255180).

135953550 is an abundant number, since it is smaller than the sum of its proper divisors (248556810).

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

135953550 is a wasteful number, since it uses less digits than its factorization.

135953550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15938 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 50625, while the sum is 36.

The square root of 135953550 is about 11659.9120922930. The cubic root of 135953550 is about 514.1977643914.

It can be divided in two parts, 135953 and 550, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 135953550 in words is "one hundred thirty-five million, nine hundred fifty-three thousand, five hundred fifty".