153205140114 has 192 divisors, whose sum is σ = 388025164800. Its totient is φ = 43320614400.

The previous prime is 153205140107. The next prime is 153205140157. The reversal of 153205140114 is 411041502351.

153205140114 is a `hidden beast` number, since 1 + 5 + 32 + 0 + 514 + 0 + 114 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12826357 + ... + 12838295.

It is an arithmetic number, because the mean of its divisors is an integer number (2020964400).

Almost surely, 2^153205140114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153205140114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194012582400).

153205140114 is an abundant number, since it is smaller than the sum of its proper divisors (234820024686).

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

153205140114 is a wasteful number, since it uses less digits than its factorization.

153205140114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12081 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 153205140114 its reverse (411041502351), we get a palindrome (564246642465).

The spelling of 153205140114 in words is "one hundred fifty-three billion, two hundred five million, one hundred forty thousand, one hundred fourteen".