147101724000 has 2304 divisors, whose sum is σ = 718937856000. Its totient is φ = 28957824000.

The previous prime is 147101723999. The next prime is 147101724037. The reversal of 147101724000 is 427101741.

147101724000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 383 ways as a sum of consecutive naturals, for example, 7742195991 + ... + 7742196009.

It is an arithmetic number, because the mean of its divisors is an integer number (312039000).

Almost surely, 2^147101724000 is an apocalyptic number.

147101724000 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 147101724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359468928000).

147101724000 is an abundant number, since it is smaller than the sum of its proper divisors (571836132000).

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

147101724000 is a wasteful number, since it uses less digits than its factorization.

147101724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 147101724000 its reverse (427101741), we get a palindrome (147528825741).

The spelling of 147101724000 in words is "one hundred forty-seven billion, one hundred one million, seven hundred twenty-four thousand".