456138 has 16 divisors (see below), whose sum is σ = 1013760. Its totient is φ = 152028.

The previous prime is 456119. The next prime is 456149. The reversal of 456138 is 831654.

456138 is a `hidden beast` number, since 45 + 613 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4170 + ... + 4277.

It is an arithmetic number, because the mean of its divisors is an integer number (63360).

2⁴⁵⁶¹³⁸ is an apocalyptic number.

456138 is an abundant number, since it is smaller than the sum of its proper divisors (557622).

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

456138 is a wasteful number, since it uses less digits than its factorization.

456138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8458 (or 8452 counting only the distinct ones).

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

The square root of 456138 is about 675.3798930972. The cubic root of 456138 is about 76.9777863622.

The spelling of 456138 in words is "four hundred fifty-six thousand, one hundred thirty-eight".