135134620650 has 240 divisors, whose sum is σ = 383370084768. Its totient is φ = 35429400000.

The previous prime is 135134620639. The next prime is 135134620667. The reversal of 135134620650 is 56026431531.

135134620650 is a `hidden beast` number, since 13 + 5 + 13 + 4 + 620 + 6 + 5 + 0 = 666.

It is a super-3 number, since 3×135134620650³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

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, 60032025 + ... + 60034275.

Almost surely, 2^135134620650 is an apocalyptic number.

135134620650 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 135134620650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191685042384).

135134620650 is an abundant number, since it is smaller than the sum of its proper divisors (248235464118).

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

135134620650 is an frugal number, since it uses more digits than its factorization.

135134620650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

It can be divided in two parts, 1351346 and 20650, that added together give a triangular number (1371996 = T₁₆₅₆).

The spelling of 135134620650 in words is "one hundred thirty-five billion, one hundred thirty-four million, six hundred twenty thousand, six hundred fifty".