146020400 has 60 divisors (see below), whose sum is σ = 352602432. Its totient is φ = 58110720.

The previous prime is 146020387. The next prime is 146020417. The reversal of 146020400 is 4020641.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88382 + ... + 90018.

Almost surely, 2^146020400 is an apocalyptic number.

146020400 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 146020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176301216).

146020400 is an abundant number, since it is smaller than the sum of its proper divisors (206582032).

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

146020400 is a wasteful number, since it uses less digits than its factorization.

146020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 146020400 is about 12083.8901021153. The cubic root of 146020400 is about 526.5882665616.

The spelling of 146020400 in words is "one hundred forty-six million, twenty thousand, four hundred".