153402513641408 has 84 divisors (see below), whose sum is σ = 323817562513440. Its totient is φ = 72089009405952.

The previous prime is 153402513641407. The next prime is 153402513641477. The reversal of 153402513641408 is 804146315204351.

153402513641408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153402513641407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7531016 + ... + 19066232.

Almost surely, 2^{153402513641408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153402513641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161908781256720).

153402513641408 is an abundant number, since it is smaller than the sum of its proper divisors (170415048872032).

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

153402513641408 is a wasteful number, since it uses less digits than its factorization.

153402513641408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11535982 (or 11535955 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 47.

Adding to 153402513641408 its reverse (804146315204351), we get a palindrome (957548828845759).

The spelling of 153402513641408 in words is "one hundred fifty-three trillion, four hundred two billion, five hundred thirteen million, six hundred forty-one thousand, four hundred eight".