188029630152 has 512 divisors, whose sum is σ = 663680640000. Its totient is φ = 47996706816.

The previous prime is 188029630127. The next prime is 188029630157. The reversal of 188029630152 is 251036920881.

188029630152 is a `hidden beast` number, since 1 + 8 + 8 + 0 + 2 + 9 + 630 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 188029630098 and 188029630107.

It is not an unprimeable number, because it can be changed into a prime (188029630157) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166544724 + ... + 166545852.

It is an arithmetic number, because the mean of its divisors is an integer number (1296251250).

Almost surely, 2^188029630152 is an apocalyptic number.

188029630152 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 188029630152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331840320000).

188029630152 is an abundant number, since it is smaller than the sum of its proper divisors (475651009848).

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

188029630152 is a wasteful number, since it uses less digits than its factorization.

188029630152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 188029630152 in words is "one hundred eighty-eight billion, twenty-nine million, six hundred thirty thousand, one hundred fifty-two".