146281742352 has 60 divisors (see below), whose sum is σ = 409727064604. Its totient is φ = 48719923200.

The previous prime is 146281742333. The next prime is 146281742357. The reversal of 146281742352 is 253247182641.

146281742352 is a `hidden beast` number, since 1 + 4 + 628 + 17 + 4 + 2 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1878702336 + 144403040016 = 43344^2 + 380004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146281742298 and 146281742307.

It is not an unprimeable number, because it can be changed into a prime (146281742357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249973 + ... + 595860.

Almost surely, 2^146281742352 is an apocalyptic number.

146281742352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146281742352 is an abundant number, since it is smaller than the sum of its proper divisors (263445322252).

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

146281742352 is a wasteful number, since it uses less digits than its factorization.

146281742352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847048 (or 847039 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 146281742352 in words is "one hundred forty-six billion, two hundred eighty-one million, seven hundred forty-two thousand, three hundred fifty-two".