152204001114004 has 48 divisors (see below), whose sum is σ = 304521389093376. Its totient is φ = 65205991116000.

The previous prime is 152204001114001. The next prime is 152204001114029. The reversal of 152204001114004 is 400411100402251.

It is a super-2 number, since 2×152204001114004² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152204001114004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152204001114001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3146571939 + ... + 3146620309.

It is an arithmetic number, because the mean of its divisors is an integer number (6344195606112).

Almost surely, 2^{152204001114004} is an apocalyptic number.

152204001114004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152204001114004 is an abundant number, since it is smaller than the sum of its proper divisors (152317387979372).

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

152204001114004 is a wasteful number, since it uses less digits than its factorization.

152204001114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87916 (or 87914 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 152204001114004 its reverse (400411100402251), we get a palindrome (552615101516255).

The spelling of 152204001114004 in words is "one hundred fifty-two trillion, two hundred four billion, one million, one hundred fourteen thousand, four".