146790139697280 has 512 divisors, whose sum is σ = 557258953996800. Its totient is φ = 36841440854016.

The previous prime is 146790139697239. The next prime is 146790139697317. The reversal of 146790139697280 is 82796931097641.

146790139697280 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 90 + 1 + 396 + 9 + 72 + 80 = 666.

It is a super-2 number, since 2×146790139697280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 146790139697199 and 146790139697208.

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, 20710029 + ... + 26879091.

It is an arithmetic number, because the mean of its divisors is an integer number (1088396394525).

Almost surely, 2^{146790139697280} is an apocalyptic number.

146790139697280 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 146790139697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278629476998400).

146790139697280 is an abundant number, since it is smaller than the sum of its proper divisors (410468814299520).

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

146790139697280 is an frugal number, since it uses more digits than its factorization.

146790139697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169120 (or 6169090 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 146790139697280 in words is "one hundred forty-six trillion, seven hundred ninety billion, one hundred thirty-nine million, six hundred ninety-seven thousand, two hundred eighty".