146337213120 has 896 divisors, whose sum is σ = 582524006400. Its totient is φ = 30364139520.

The previous prime is 146337213089. The next prime is 146337213131. The reversal of 146337213120 is 21312733641.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 735362781 + ... + 735362979.

It is an arithmetic number, because the mean of its divisors is an integer number (650138400).

Almost surely, 2^146337213120 is an apocalyptic number.

146337213120 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 146337213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291262003200).

146337213120 is an abundant number, since it is smaller than the sum of its proper divisors (436186793280).

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

146337213120 is a wasteful number, since it uses less digits than its factorization.

146337213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 146337213120 its reverse (21312733641), we get a palindrome (167649946761).

The spelling of 146337213120 in words is "one hundred forty-six billion, three hundred thirty-seven million, two hundred thirteen thousand, one hundred twenty".