146516213440 has 112 divisors (see below), whose sum is σ = 354570670080. Its totient is φ = 57656130560.

The previous prime is 146516213429. The next prime is 146516213449. The reversal of 146516213440 is 44312615641.

It is a self number, because there is not a number n which added to its sum of digits gives 146516213440.

It is not an unprimeable number, because it can be changed into a prime (146516213449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10876149 + ... + 10889611.

Almost surely, 2^146516213440 is an apocalyptic number.

146516213440 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 146516213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177285335040).

146516213440 is an abundant number, since it is smaller than the sum of its proper divisors (208054456640).

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

146516213440 is a wasteful number, since it uses less digits than its factorization.

146516213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14030 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 146516213440 in words is "one hundred forty-six billion, five hundred sixteen million, two hundred thirteen thousand, four hundred forty".