135610066350 has 300 divisors, whose sum is σ = 414653244720. Its totient is φ = 32860792800.

The previous prime is 135610066349. The next prime is 135610066351. The reversal of 135610066350 is 53660016531.

135610066350 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 10 + 0 + 6 + 635 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135610066349) and next prime (135610066351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135610066351) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 59294907 + ... + 59297193.

Almost surely, 2^135610066350 is an apocalyptic number.

135610066350 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 135610066350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207326622360).

135610066350 is an abundant number, since it is smaller than the sum of its proper divisors (279043178370).

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

135610066350 is an equidigital number, since it uses as much as digits as its factorization.

135610066350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 135610066350 in words is "one hundred thirty-five billion, six hundred ten million, sixty-six thousand, three hundred fifty".