135663150 has 96 divisors (see below), whose sum is σ = 392832000. Its totient is φ = 30337920.

The previous prime is 135663149. The next prime is 135663169. The reversal of 135663150 is 51366531.

It is a super-3 number, since 3×135663150³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 47976 + ... + 50724.

It is an arithmetic number, because the mean of its divisors is an integer number (4092000).

Almost surely, 2^135663150 is an apocalyptic number.

135663150 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 135663150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416000).

135663150 is an abundant number, since it is smaller than the sum of its proper divisors (257168850).

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

135663150 is a wasteful number, since it uses less digits than its factorization.

135663150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 135663150 is about 11647.4525111717. The cubic root of 135663150 is about 513.8313905422.

The spelling of 135663150 in words is "one hundred thirty-five million, six hundred sixty-three thousand, one hundred fifty".