135011510010 has 384 divisors, whose sum is σ = 413021306880. Its totient is φ = 30290485248.

The previous prime is 135011509999. The next prime is 135011510041. The reversal of 135011510010 is 10015110531.

135011510010 is a `hidden beast` number, since 1 + 3 + 501 + 151 + 0 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 281860951 + ... + 281861429.

It is an arithmetic number, because the mean of its divisors is an integer number (1075576320).

Almost surely, 2^135011510010 is an apocalyptic number.

135011510010 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 135011510010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206510653440).

135011510010 is an abundant number, since it is smaller than the sum of its proper divisors (278009796870).

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

135011510010 is a wasteful number, since it uses less digits than its factorization.

135011510010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

Adding to 135011510010 its reverse (10015110531), we get a palindrome (145026620541).

The spelling of 135011510010 in words is "one hundred thirty-five billion, eleven million, five hundred ten thousand, ten".