153402435340 has 192 divisors, whose sum is σ = 406954533888. Its totient is φ = 47184076800.

The previous prime is 153402435313. The next prime is 153402435349. The reversal of 153402435340 is 43534204351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153402435296 and 153402435305.

It is not an unprimeable number, because it can be changed into a prime (153402435349) 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 63 ways as a sum of consecutive naturals, for example, 46301524 + ... + 46304836.

It is an arithmetic number, because the mean of its divisors is an integer number (2119554864).

Almost surely, 2^153402435340 is an apocalyptic number.

153402435340 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 153402435340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203477266944).

153402435340 is an abundant number, since it is smaller than the sum of its proper divisors (253552098548).

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

153402435340 is a wasteful number, since it uses less digits than its factorization.

153402435340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 153402435340 its reverse (43534204351), we get a palindrome (196936639691).

The spelling of 153402435340 in words is "one hundred fifty-three billion, four hundred two million, four hundred thirty-five thousand, three hundred forty".