147012020820 has 768 divisors, whose sum is σ = 572905267200. Its totient is φ = 30928449024.

The previous prime is 147012020777. The next prime is 147012020833. The reversal of 147012020820 is 28020210741.

It is a super-2 number, since 2×147012020820² (a number of 23 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 215244199 + ... + 215244881.

It is an arithmetic number, because the mean of its divisors is an integer number (745970400).

Almost surely, 2^147012020820 is an apocalyptic number.

147012020820 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 147012020820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286452633600).

147012020820 is an abundant number, since it is smaller than the sum of its proper divisors (425893246380).

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

147012020820 is a wasteful number, since it uses less digits than its factorization.

147012020820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 147012020820 in words is "one hundred forty-seven billion, twelve million, twenty thousand, eight hundred twenty".