34001152146 has 48 divisors (see below), whose sum is σ = 81480259224. Its totient is φ = 10179136512.

The previous prime is 34001152123. The next prime is 34001152147. The reversal of 34001152146 is 64125110043.

It is a happy number.

34001152146 is a `hidden beast` number, since 3 + 400 + 115 + 2 + 146 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33778396521 + 222755625 = 183789^2 + 14925^2 .

It is a super-3 number, since 3×34001152146³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34001152147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1954911 + ... + 1972226.

Almost surely, 2^34001152146 is an apocalyptic number.

34001152146 is an abundant number, since it is smaller than the sum of its proper divisors (47479107078).

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

34001152146 is a wasteful number, since it uses less digits than its factorization.

34001152146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927195 (or 3927192 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 34001152146 its reverse (64125110043), we get a palindrome (98126262189).

The spelling of 34001152146 in words is "thirty-four billion, one million, one hundred fifty-two thousand, one hundred forty-six".