146464500 has 384 divisors, whose sum is σ = 557706240. Its totient is φ = 29030400.

The previous prime is 146464459. The next prime is 146464501. The reversal of 146464500 is 5464641.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146464501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3958482 + ... + 3958518.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^146464500 is an apocalyptic number.

146464500 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 146464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278853120).

146464500 is an abundant number, since it is smaller than the sum of its proper divisors (411241740).

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

146464500 is a wasteful number, since it uses less digits than its factorization.

146464500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 146464500 is about 12102.2518565761. The cubic root of 146464500 is about 527.1215737053.

The spelling of 146464500 in words is "one hundred forty-six million, four hundred sixty-four thousand, five hundred".