147020513430 has 256 divisors, whose sum is σ = 420765456384. Its totient is φ = 32178954240.

The previous prime is 147020513429. The next prime is 147020513443. The reversal of 147020513430 is 34315020741.

147020513430 = T₄₀₂₁₅ + T₄₀₂₁₆ + ... + T₄₀₃₉₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150481102 + ... + 150482078.

It is an arithmetic number, because the mean of its divisors is an integer number (1643615064).

Almost surely, 2^147020513430 is an apocalyptic number.

147020513430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147020513430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210382728192).

147020513430 is an abundant number, since it is smaller than the sum of its proper divisors (273744942954).

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

147020513430 is a wasteful number, since it uses less digits than its factorization.

147020513430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319.

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 147020513430 in words is "one hundred forty-seven billion, twenty million, five hundred thirteen thousand, four hundred thirty".