151945839360 has 864 divisors, whose sum is σ = 656043548160. Its totient is φ = 32893599744.

The previous prime is 151945839349. The next prime is 151945839391. The reversal of 151945839360 is 63938549151.

151945839360 is a `hidden beast` number, since 1 + 5 + 194 + 5 + 8 + 393 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 151945839297 and 151945839306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41366484 + ... + 41370156.

Almost surely, 2^151945839360 is an apocalyptic number.

151945839360 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 151945839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328021774080).

151945839360 is an abundant number, since it is smaller than the sum of its proper divisors (504097708800).

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

151945839360 is an equidigital number, since it uses as much as digits as its factorization.

151945839360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 151945839360 in words is "one hundred fifty-one billion, nine hundred forty-five million, eight hundred thirty-nine thousand, three hundred sixty".