146141307136 has 144 divisors (see below), whose sum is σ = 336249446400. Its totient is φ = 62693222400.

The previous prime is 146141307131. The next prime is 146141307139. The reversal of 146141307136 is 631703141641.

It is a junction number, because it is equal to n+sod(n) for n = 146141307095 and 146141307104.

It is not an unprimeable number, because it can be changed into a prime (146141307131) 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, 14494545 + ... + 14504623.

It is an arithmetic number, because the mean of its divisors is an integer number (2335065600).

Almost surely, 2^146141307136 is an apocalyptic number.

146141307136 is a gapful number since it is divisible by the number (16) 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 146141307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168124723200).

146141307136 is an abundant number, since it is smaller than the sum of its proper divisors (190108139264).

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

146141307136 is a wasteful number, since it uses less digits than its factorization.

146141307136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

Adding to 146141307136 its reverse (631703141641), we get a palindrome (777844448777).

The spelling of 146141307136 in words is "one hundred forty-six billion, one hundred forty-one million, three hundred seven thousand, one hundred thirty-six".