146214123440 has 160 divisors (see below), whose sum is σ = 425333776896. Its totient is φ = 45411655680.

The previous prime is 146214123427. The next prime is 146214123443. The reversal of 146214123440 is 44321412641.

146214123440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146214123397 and 146214123406.

It is not an unprimeable number, because it can be changed into a prime (146214123443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701344 + ... + 1785216.

Almost surely, 2^146214123440 is an apocalyptic number.

146214123440 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 146214123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212666888448).

146214123440 is an abundant number, since it is smaller than the sum of its proper divisors (279119653456).

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

146214123440 is a wasteful number, since it uses less digits than its factorization.

146214123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84187 (or 84181 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 146214123440 in words is "one hundred forty-six billion, two hundred fourteen million, one hundred twenty-three thousand, four hundred forty".