153525134340 has 144 divisors (see below), whose sum is σ = 476460811008. Its totient is φ = 39996559872.

The previous prime is 153525134327. The next prime is 153525134377. The reversal of 153525134340 is 43431525351.

153525134340 is a `hidden beast` number, since 1 + 5 + 35 + 251 + 34 + 340 = 666.

153525134340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153525134295 and 153525134304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4746864 + ... + 4779096.

It is an arithmetic number, because the mean of its divisors is an integer number (3308755632).

Almost surely, 2^153525134340 is an apocalyptic number.

153525134340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153525134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238230405504).

153525134340 is an abundant number, since it is smaller than the sum of its proper divisors (322935676668).

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

153525134340 is a wasteful number, since it uses less digits than its factorization.

153525134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32858 (or 32853 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 153525134340 its reverse (43431525351), we get a palindrome (196956659691).

The spelling of 153525134340 in words is "one hundred fifty-three billion, five hundred twenty-five million, one hundred thirty-four thousand, three hundred forty".