135525346110 has 576 divisors, whose sum is σ = 457119936000. Its totient is φ = 27542592000.

The previous prime is 135525346097. The next prime is 135525346123. The reversal of 135525346110 is 11643525531.

135525346110 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 2 + 5 + 34 + 611 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135525346097) and next prime (135525346123).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 681031791 + ... + 681031989.

It is an arithmetic number, because the mean of its divisors is an integer number (793611000).

Almost surely, 2^135525346110 is an apocalyptic number.

135525346110 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 135525346110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228559968000).

135525346110 is an abundant number, since it is smaller than the sum of its proper divisors (321594589890).

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

135525346110 is a wasteful number, since it uses less digits than its factorization.

135525346110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 135525346110 in words is "one hundred thirty-five billion, five hundred twenty-five million, three hundred forty-six thousand, one hundred ten".