135737243062110 has 384 divisors, whose sum is σ = 378780908912640. Its totient is φ = 33645147664128.

The previous prime is 135737243062097. The next prime is 135737243062139. The reversal of 135737243062110 is 11260342737531.

135737243062110 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 3 + 7 + 2 + 4 + 3 + 0 + 621 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8068543159 + ... + 8068559981.

It is an arithmetic number, because the mean of its divisors is an integer number (986408616960).

Almost surely, 2^{135737243062110} is an apocalyptic number.

135737243062110 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 135737243062110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189390454456320).

135737243062110 is an abundant number, since it is smaller than the sum of its proper divisors (243043665850530).

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

135737243062110 is a wasteful number, since it uses less digits than its factorization.

135737243062110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17492 (or 17489 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

Adding to 135737243062110 its reverse (11260342737531), we get a palindrome (146997585799641).

The spelling of 135737243062110 in words is "one hundred thirty-five trillion, seven hundred thirty-seven billion, two hundred forty-three million, sixty-two thousand, one hundred ten".