152168797440 has 432 divisors, whose sum is σ = 584114207040. Its totient is φ = 36262379520.

The previous prime is 152168797397. The next prime is 152168797493. The reversal of 152168797440 is 44797861251.

152168797440 is a `hidden beast` number, since 1 + 52 + 1 + 68 + 7 + 97 + 440 = 666.

152168797440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 7466304 + ... + 7486656.

It is an arithmetic number, because the mean of its divisors is an integer number (1352116220).

Almost surely, 2^152168797440 is an apocalyptic number.

152168797440 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 152168797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292057103520).

152168797440 is an abundant number, since it is smaller than the sum of its proper divisors (431945409600).

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

152168797440 is a wasteful number, since it uses less digits than its factorization.

152168797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20450 (or 20433 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 152168797440 in words is "one hundred fifty-two billion, one hundred sixty-eight million, seven hundred ninety-seven thousand, four hundred forty".