146125560636 has 144 divisors (see below), whose sum is σ = 413940054528. Its totient is φ = 43081113600.

The previous prime is 146125560631. The next prime is 146125560671. The reversal of 146125560636 is 636065521641.

146125560636 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 2 + 5 + 5 + 6 + 0 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146125560591 and 146125560600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146125560631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4359501 + ... + 4392891.

It is an arithmetic number, because the mean of its divisors is an integer number (2874583712).

Almost surely, 2^146125560636 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 146125560636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206970027264).

146125560636 is an abundant number, since it is smaller than the sum of its proper divisors (267814493892).

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

146125560636 is a wasteful number, since it uses less digits than its factorization.

146125560636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33712 (or 33707 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 146125560636 in words is "one hundred forty-six billion, one hundred twenty-five million, five hundred sixty thousand, six hundred thirty-six".