152927163840 has 448 divisors, whose sum is σ = 564310914048. Its totient is φ = 34676736000.

The previous prime is 152927163839. The next prime is 152927163863. The reversal of 152927163840 is 48361729251.

It is a super-3 number, since 3×152927163840³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 152927163840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29977290 + ... + 29982390.

It is an arithmetic number, because the mean of its divisors is an integer number (1259622576).

It is a 1-persistent number, because it is pandigital, but 2⋅152927163840 = 305854327680 is not.

Almost surely, 2^152927163840 is an apocalyptic number.

152927163840 is a gapful number since it is divisible by the number (10) 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 152927163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282155457024).

152927163840 is an abundant number, since it is smaller than the sum of its proper divisors (411383750208).

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

152927163840 is a wasteful number, since it uses less digits than its factorization.

152927163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 152927163840 in words is "one hundred fifty-two billion, nine hundred twenty-seven million, one hundred sixty-three thousand, eight hundred forty".