147241251360 has 768 divisors, whose sum is σ = 640547066880. Its totient is φ = 30815354880.

The previous prime is 147241251293. The next prime is 147241251361. The reversal of 147241251360 is 63152142741.

147241251360 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 41 + 251 + 360 = 666.

It is a super-2 number, since 2×147241251360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (147241251361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19017090 + ... + 19024830.

It is an arithmetic number, because the mean of its divisors is an integer number (834045660).

Almost surely, 2^147241251360 is an apocalyptic number.

147241251360 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 147241251360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320273533440).

147241251360 is an abundant number, since it is smaller than the sum of its proper divisors (493305815520).

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

147241251360 is a wasteful number, since it uses less digits than its factorization.

147241251360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7826 (or 7812 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 147241251360 in words is "one hundred forty-seven billion, two hundred forty-one million, two hundred fifty-one thousand, three hundred sixty".