135045229410 has 240 divisors, whose sum is σ = 441130677624. Its totient is φ = 28492466688.

The previous prime is 135045229393. The next prime is 135045229427. The reversal of 135045229410 is 14922540531.

135045229410 is a `hidden beast` number, since 1 + 3 + 504 + 52 + 2 + 94 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (135045229393) and next prime (135045229427).

It can be written as a sum of positive squares in 4 ways, for example, as 103355177121 + 31690052289 = 321489^2 + 178017^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2785134 + ... + 2833206.

Almost surely, 2^135045229410 is an apocalyptic number.

135045229410 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 135045229410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220565338812).

135045229410 is an abundant number, since it is smaller than the sum of its proper divisors (306085448214).

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

135045229410 is a wasteful number, since it uses less digits than its factorization.

135045229410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48127 (or 48103 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 135045229410 its reverse (14922540531), we get a palindrome (149967769941).

The spelling of 135045229410 in words is "one hundred thirty-five billion, forty-five million, two hundred twenty-nine thousand, four hundred ten".