152058736830 has 512 divisors, whose sum is σ = 508333916160. Its totient is φ = 28090644480.

The previous prime is 152058736813. The next prime is 152058736849. The reversal of 152058736830 is 38637850251.

152058736830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152058736830.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 118888131 + ... + 118889409.

It is an arithmetic number, because the mean of its divisors is an integer number (992839680).

Almost surely, 2^152058736830 is an apocalyptic number.

152058736830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152058736830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254166958080).

152058736830 is an abundant number, since it is smaller than the sum of its proper divisors (356275179330).

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

152058736830 is a wasteful number, since it uses less digits than its factorization.

152058736830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464.

The product of its (nonzero) digits is 1209600, while the sum is 48.

It can be divided in two parts, 152058 and 736830, that added together give a palindrome (888888).

The spelling of 152058736830 in words is "one hundred fifty-two billion, fifty-eight million, seven hundred thirty-six thousand, eight hundred thirty".