152381381760 has 256 divisors, whose sum is σ = 545253811200. Its totient is φ = 40215674880.

The previous prime is 152381381759. The next prime is 152381381777. The reversal of 152381381760 is 67183183251.

It is a happy number.

152381381760 is a `hidden beast` number, since 1 + 523 + 81 + 38 + 17 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1630705 + ... + 1721615.

It is an arithmetic number, because the mean of its divisors is an integer number (2129897700).

Almost surely, 2^152381381760 is an apocalyptic number.

152381381760 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 152381381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272626905600).

152381381760 is an abundant number, since it is smaller than the sum of its proper divisors (392872429440).

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

152381381760 is an equidigital number, since it uses as much as digits as its factorization.

152381381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91036 (or 91018 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 152381381760 in words is "one hundred fifty-two billion, three hundred eighty-one million, three hundred eighty-one thousand, seven hundred sixty".