146123403323136 has 288 divisors, whose sum is σ = 410030500819968. Its totient is φ = 46105994035200.

The previous prime is 146123403323101. The next prime is 146123403323137. The reversal of 146123403323136 is 631323304321641.

146123403323136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146123403323137) 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, 3812525605 + ... + 3812563931.

It is an arithmetic number, because the mean of its divisors is an integer number (1423717016736).

Almost surely, 2^{146123403323136} is an apocalyptic number.

146123403323136 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 146123403323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205015250409984).

146123403323136 is an abundant number, since it is smaller than the sum of its proper divisors (263907097496832).

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

146123403323136 is a wasteful number, since it uses less digits than its factorization.

146123403323136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40607 (or 40593 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

Adding to 146123403323136 its reverse (631323304321641), we get a palindrome (777446707644777).

The spelling of 146123403323136 in words is "one hundred forty-six trillion, one hundred twenty-three billion, four hundred three million, three hundred twenty-three thousand, one hundred thirty-six".