146366000 has 80 divisors (see below), whose sum is σ = 386144928. Its totient is φ = 53216000.

The previous prime is 146365991. The next prime is 146366009. The reversal of 146366000 is 663641.

It is an interprime number because it is at equal distance from previous prime (146365991) and next prime (146366009).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (146366009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18674 + ... + 25326.

Almost surely, 2^146366000 is an apocalyptic number.

146366000 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 146366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193072464).

146366000 is an abundant number, since it is smaller than the sum of its proper divisors (239778928).

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

146366000 is a wasteful number, since it uses less digits than its factorization.

146366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 146366000 is about 12098.1816815586. The cubic root of 146366000 is about 527.0033809720.

The spelling of 146366000 in words is "one hundred forty-six million, three hundred sixty-six thousand".