146834040 has 64 divisors (see below), whose sum is σ = 443721600. Its totient is φ = 38869632.

The previous prime is 146834027. The next prime is 146834053. The reversal of 146834040 is 40438641.

146834040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146834027) and next prime (146834053).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146833989 and 146834007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12279 + ... + 21081.

It is an arithmetic number, because the mean of its divisors is an integer number (6933150).

Almost surely, 2^146834040 is an apocalyptic number.

146834040 is a gapful number since it is divisible by the number (10) 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 146834040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221860800).

146834040 is an abundant number, since it is smaller than the sum of its proper divisors (296887560).

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

146834040 is a wasteful number, since it uses less digits than its factorization.

146834040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956 (or 8952 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 146834040 is about 12117.5096451375. The cubic root of 146834040 is about 527.5645227034.

The spelling of 146834040 in words is "one hundred forty-six million, eight hundred thirty-four thousand, forty".