135153552534 has 192 divisors, whose sum is σ = 374932115712. Its totient is φ = 31920134400.

The previous prime is 135153552533. The next prime is 135153552559. The reversal of 135153552534 is 435255351531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135153552533) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2792824 + ... + 2840804.

It is an arithmetic number, because the mean of its divisors is an integer number (1952771436).

Almost surely, 2^135153552534 is an apocalyptic number.

135153552534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135153552534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187466057856).

135153552534 is an abundant number, since it is smaller than the sum of its proper divisors (239778563178).

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

135153552534 is a wasteful number, since it uses less digits than its factorization.

135153552534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48091 (or 48084 counting only the distinct ones).

The product of its digits is 675000, while the sum is 42.

The spelling of 135153552534 in words is "one hundred thirty-five billion, one hundred fifty-three million, five hundred fifty-two thousand, five hundred thirty-four".