147380294880 has 960 divisors, whose sum is σ = 648649753920. Its totient is φ = 31067172864.

The previous prime is 147380294863. The next prime is 147380294909. The reversal of 147380294880 is 88492083741.

It is a happy number.

147380294880 is a `hidden beast` number, since 1 + 473 + 8 + 0 + 2 + 94 + 8 + 80 = 666.

It is a super-3 number, since 3×147380294880³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134839614 + ... + 134840706.

It is an arithmetic number, because the mean of its divisors is an integer number (675676827).

Almost surely, 2^147380294880 is an apocalyptic number.

147380294880 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 147380294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324324876960).

147380294880 is an abundant number, since it is smaller than the sum of its proper divisors (501269459040).

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

147380294880 is a wasteful number, since it uses less digits than its factorization.

147380294880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 147380294880 in words is "one hundred forty-seven billion, three hundred eighty million, two hundred ninety-four thousand, eight hundred eighty".