153901357411452 has 192 divisors, whose sum is σ = 432883113062400. Its totient is φ = 41572762237440.

The previous prime is 153901357411411. The next prime is 153901357411463. The reversal of 153901357411452 is 254114753109351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153901357411395 and 153901357411404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3493052199 + ... + 3493096257.

It is an arithmetic number, because the mean of its divisors is an integer number (2254599547200).

Almost surely, 2^{153901357411452} is an apocalyptic number.

153901357411452 is a gapful number since it is divisible by the number (12) 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 153901357411452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216441556531200).

153901357411452 is an abundant number, since it is smaller than the sum of its proper divisors (278981755650948).

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

153901357411452 is a wasteful number, since it uses less digits than its factorization.

153901357411452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48496 (or 48494 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 153901357411452 in words is "one hundred fifty-three trillion, nine hundred one billion, three hundred fifty-seven million, four hundred eleven thousand, four hundred fifty-two".