135314550 has 288 divisors, whose sum is σ = 452804352. Its totient is φ = 29393280.

The previous prime is 135314537. The next prime is 135314581. The reversal of 135314550 is 55413531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3146829 + ... + 3146871.

Almost surely, 2^135314550 is an apocalyptic number.

135314550 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 135314550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402176).

135314550 is an abundant number, since it is smaller than the sum of its proper divisors (317489802).

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

135314550 is a wasteful number, since it uses less digits than its factorization.

135314550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 135314550 is about 11632.4782398249. The cubic root of 135314550 is about 513.3908993556.

It can be divided in two parts, 13531 and 4550, that added together give a palindrome (18081).

The spelling of 135314550 in words is "one hundred thirty-five million, three hundred fourteen thousand, five hundred fifty".