7446138 has 96 divisors (see below), whose sum is σ = 19261440. Its totient is φ = 1905120.

The previous prime is 7446121. The next prime is 7446149. The reversal of 7446138 is 8316447.

It is a super-2 number, since 2×7446138² = 110889942230088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (16128) is a multiple of the sum of its prime factors (112).

7446138 is a modest number, since divided by 6138 gives 744 as remainder.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 7446099 and 7446108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173145 + ... + 173187.

It is an arithmetic number, because the mean of its divisors is an integer number (200640).

Almost surely, 2^7446138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7446138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9630720).

7446138 is an abundant number, since it is smaller than the sum of its proper divisors (11815302).

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

7446138 is a wasteful number, since it uses less digits than its factorization.

7446138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 7446138 is about 2728.7612574207. The cubic root of 7446138 is about 195.2736722774.

The spelling of 7446138 in words is "seven million, four hundred forty-six thousand, one hundred thirty-eight".