152657068032 has 648 divisors, whose sum is σ = 543894296400. Its totient is φ = 41023438848.

The previous prime is 152657067991. The next prime is 152657068033. The reversal of 152657068032 is 230860756251.

152657068032 is a `hidden beast` number, since 15 + 2 + 6 + 570 + 68 + 0 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (152657068033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1098252219 + ... + 1098252357.

It is an arithmetic number, because the mean of its divisors is an integer number (839343050).

Almost surely, 2^152657068032 is an apocalyptic number.

152657068032 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 152657068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271947148200).

152657068032 is an abundant number, since it is smaller than the sum of its proper divisors (391237228368).

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

152657068032 is an equidigital number, since it uses as much as digits as its factorization.

152657068032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 152657068032 in words is "one hundred fifty-two billion, six hundred fifty-seven million, sixty-eight thousand, thirty-two".