146756385 has 48 divisors (see below), whose sum is σ = 265861440. Its totient is φ = 74793600.

The previous prime is 146756381. The next prime is 146756431. The reversal of 146756385 is 583657641.

146756385 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 5 + 638 + 5 = 666.

146756385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146756385 - 2² = 146756381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 146756385.

It is not an unprimeable number, because it can be changed into a prime (146756381) 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, 139110 + ... + 140160.

It is an arithmetic number, because the mean of its divisors is an integer number (5538780).

Almost surely, 2^146756385 is an apocalyptic number.

146756385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146756385 is a deficient number, since it is larger than the sum of its proper divisors (119105055).

146756385 is a wasteful number, since it uses less digits than its factorization.

146756385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1195 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 146756385 is about 12114.3049738728. The cubic root of 146756385 is about 527.4715032935.

The spelling of 146756385 in words is "one hundred forty-six million, seven hundred fifty-six thousand, three hundred eighty-five".