146168640 has 84 divisors (see below), whose sum is σ = 502769124. Its totient is φ = 38977536.

The previous prime is 146168599. The next prime is 146168677. The reversal of 146168640 is 46861641.

146168640 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 6 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98724096 + 47444544 = 9936^2 + 6888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146168595 and 146168604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22497 + ... + 28256.

Almost surely, 2^146168640 is an apocalyptic number.

146168640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146168640 is an abundant number, since it is smaller than the sum of its proper divisors (356600484).

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

146168640 is a wasteful number, since it uses less digits than its factorization.

146168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50776 (or 50763 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146168640 is about 12090.0223324856. The cubic root of 146168640 is about 526.7664038710.

The spelling of 146168640 in words is "one hundred forty-six million, one hundred sixty-eight thousand, six hundred forty".