152730759168 has 520 divisors, whose sum is σ = 520499781648. Its totient is φ = 44208488448.

The previous prime is 152730759149. The next prime is 152730759197. The reversal of 152730759168 is 861957037251.

152730759168 is a `hidden beast` number, since 1 + 527 + 3 + 0 + 7 + 59 + 1 + 68 = 666.

It is a super-3 number, since 3×152730759168³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73321455 + ... + 73323537.

Almost surely, 2^152730759168 is an apocalyptic number.

152730759168 is a gapful number since it is divisible by the number (18) 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 152730759168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260249890824).

152730759168 is an abundant number, since it is smaller than the sum of its proper divisors (367769022480).

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

152730759168 is a wasteful number, since it uses less digits than its factorization.

152730759168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 152730759168 in words is "one hundred fifty-two billion, seven hundred thirty million, seven hundred fifty-nine thousand, one hundred sixty-eight".