152168466240 has 336 divisors, whose sum is σ = 620323546752. Its totient is φ = 34781239296.

The previous prime is 152168466211. The next prime is 152168466337. The reversal of 152168466240 is 42664861251.

It is a happy number.

152168466240 is a `hidden beast` number, since 1 + 5 + 2 + 16 + 8 + 4 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404542 + ... + 684098.

It is an arithmetic number, because the mean of its divisors is an integer number (1846201032).

Almost surely, 2^152168466240 is an apocalyptic number.

152168466240 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 152168466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310161773376).

152168466240 is an abundant number, since it is smaller than the sum of its proper divisors (468155080512).

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

152168466240 is an equidigital number, since it uses as much as digits as its factorization.

152168466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279596 (or 279574 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 152168466240 in words is "one hundred fifty-two billion, one hundred sixty-eight million, four hundred sixty-six thousand, two hundred forty".