146396122236 has 648 divisors, whose sum is σ = 489478298400. Its totient is φ = 36852641280.

The previous prime is 146396122109. The next prime is 146396122247. The reversal of 146396122236 is 632221693641.

146396122236 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 9 + 612 + 2 + 23 + 6 = 666.

It is a super-3 number, since 3×146396122236³ (a number of 34 digits) contains 333 as substring.

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

Its product of digits (559872) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 146396122191 and 146396122200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2005426296 + ... + 2005426368.

Almost surely, 2^146396122236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146396122236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244739149200).

146396122236 is an abundant number, since it is smaller than the sum of its proper divisors (343082176164).

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

146396122236 is a wasteful number, since it uses less digits than its factorization.

146396122236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 129 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 146396122236 in words is "one hundred forty-six billion, three hundred ninety-six million, one hundred twenty-two thousand, two hundred thirty-six".