152604631116 has 288 divisors, whose sum is σ = 460841472000. Its totient is φ = 41664430080.

The previous prime is 152604631097. The next prime is 152604631121. The reversal of 152604631116 is 611136406251.

152604631116 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 0 + 4 + 631 + 1 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 339876460 + ... + 339876908.

It is an arithmetic number, because the mean of its divisors is an integer number (1600144000).

Almost surely, 2^152604631116 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 152604631116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230420736000).

152604631116 is an abundant number, since it is smaller than the sum of its proper divisors (308236840884).

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

152604631116 is a wasteful number, since it uses less digits than its factorization.

152604631116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 152604631116 in words is "one hundred fifty-two billion, six hundred four million, six hundred thirty-one thousand, one hundred sixteen".