147340756787952 has 320 divisors, whose sum is σ = 470977859932160. Its totient is φ = 38651248742400.

The previous prime is 147340756787941. The next prime is 147340756787993. The reversal of 147340756787952 is 259787657043741.

It is a super-2 number, since 2×147340756787952² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1021205577 + ... + 1021349847.

It is an arithmetic number, because the mean of its divisors is an integer number (1471805812288).

It is a 2-persistent number, because it is pandigital, and so is 2⋅147340756787952 = 294681513575904, but 3⋅147340756787952 = 442022270363856 is not.

Almost surely, 2^{147340756787952} is an apocalyptic number.

147340756787952 is a gapful number since it is divisible by the number (12) 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 147340756787952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235488929966080).

147340756787952 is an abundant number, since it is smaller than the sum of its proper divisors (323637103144208).

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

147340756787952 is a wasteful number, since it uses less digits than its factorization.

147340756787952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145552 (or 145546 counting only the distinct ones).

The product of its (nonzero) digits is 2489356800, while the sum is 75.

The spelling of 147340756787952 in words is "one hundred forty-seven trillion, three hundred forty billion, seven hundred fifty-six million, seven hundred eighty-seven thousand, nine hundred fifty-two".