146272464 has 60 divisors (see below), whose sum is σ = 440854596. Its totient is φ = 45006336.

The previous prime is 146272439. The next prime is 146272501. The reversal of 146272464 is 464272641.

146272464 is a `hidden beast` number, since 1 + 4 + 627 + 24 + 6 + 4 = 666.

146272464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61779600 + 84492864 = 7860^2 + 9192^2 .

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

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, 37197 + ... + 40940.

Almost surely, 2^146272464 is an apocalyptic number.

It is an amenable number.

146272464 is an abundant number, since it is smaller than the sum of its proper divisors (294582132).

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

146272464 is a wasteful number, since it uses less digits than its factorization.

146272464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78164 (or 78155 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 146272464 is about 12094.3153588783. The cubic root of 146272464 is about 526.8910955768.

The spelling of 146272464 in words is "one hundred forty-six million, two hundred seventy-two thousand, four hundred sixty-four".