146324138688 has 840 divisors, whose sum is σ = 551730867072. Its totient is φ = 37999632384.

The previous prime is 146324138663. The next prime is 146324138689. The reversal of 146324138688 is 886831423641.

It is a happy number.

146324138688 is a `hidden beast` number, since 1 + 46 + 32 + 413 + 86 + 88 = 666.

It is a super-2 number, since 2×146324138688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (146324138689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 241060881 + ... + 241061487.

Almost surely, 2^146324138688 is an apocalyptic number.

146324138688 is a gapful number since it is divisible by the number (18) 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 146324138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275865433536).

146324138688 is an abundant number, since it is smaller than the sum of its proper divisors (405406728384).

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

146324138688 is a wasteful number, since it uses less digits than its factorization.

146324138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 705 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 146324138688 in words is "one hundred forty-six billion, three hundred twenty-four million, one hundred thirty-eight thousand, six hundred eighty-eight".