146210378080 has 192 divisors, whose sum is σ = 398662363008. Its totient is φ = 50241945600.

The previous prime is 146210378071. The next prime is 146210378107. The reversal of 146210378080 is 80873012641.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1728780 + ... + 1811380.

It is an arithmetic number, because the mean of its divisors is an integer number (2076366474).

Almost surely, 2^146210378080 is an apocalyptic number.

146210378080 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 146210378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199331181504).

146210378080 is an abundant number, since it is smaller than the sum of its proper divisors (252451984928).

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

146210378080 is a wasteful number, since it uses less digits than its factorization.

146210378080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82689 (or 82681 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 146210378080 in words is "one hundred forty-six billion, two hundred ten million, three hundred seventy-eight thousand, eighty".