146149056 has 112 divisors (see below), whose sum is σ = 435254400. Its totient is φ = 48082176.

The previous prime is 146149049. The next prime is 146149079. The reversal of 146149056 is 650941641.

It is a super-2 number, since 2×146149056² = 42719093139382272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146149056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142915 + ... + 143933.

It is an arithmetic number, because the mean of its divisors is an integer number (3886200).

Almost surely, 2^146149056 is an apocalyptic number.

146149056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217627200).

146149056 is an abundant number, since it is smaller than the sum of its proper divisors (289105344).

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

146149056 is a wasteful number, since it uses less digits than its factorization.

146149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 146149056 is about 12089.2123812927. The cubic root of 146149056 is about 526.7428770415.

The spelling of 146149056 in words is "one hundred forty-six million, one hundred forty-nine thousand, fifty-six".