147138041856000 has 480 divisors, whose sum is σ = 527326935041088. Its totient is φ = 36218575257600.

The previous prime is 147138041855983. The next prime is 147138041856007. The reversal of 147138041856000 is 658140831741.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×147138041856000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147138041856007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78950914 + ... + 80793086.

Almost surely, 2^{147138041856000} is an apocalyptic number.

147138041856000 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 147138041856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263663467520544).

147138041856000 is an abundant number, since it is smaller than the sum of its proper divisors (380188893185088).

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

147138041856000 is an equidigital number, since it uses as much as digits as its factorization.

147138041856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842232 (or 1842196 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 147138041856000 in words is "one hundred forty-seven trillion, one hundred thirty-eight billion, forty-one million, eight hundred fifty-six thousand".