146956768 has 48 divisors (see below), whose sum is σ = 331521120. Its totient is φ = 62816256.

The previous prime is 146956759. The next prime is 146956769. The reversal of 146956768 is 867659641.

It is a super-2 number, since 2×146956768² = 43192583322011648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146956769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126880 + ... + 128032.

It is an arithmetic number, because the mean of its divisors is an integer number (6906690).

Almost surely, 2^146956768 is an apocalyptic number.

It is an amenable number.

146956768 is an abundant number, since it is smaller than the sum of its proper divisors (184564352).

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

146956768 is a wasteful number, since it uses less digits than its factorization.

146956768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1731 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 146956768 is about 12122.5726642491. The cubic root of 146956768 is about 527.7114661688.

The spelling of 146956768 in words is "one hundred forty-six million, nine hundred fifty-six thousand, seven hundred sixty-eight".