146113600 has 168 divisors, whose sum is σ = 385511040. Its totient is φ = 54405120.

The previous prime is 146113579. The next prime is 146113607. The reversal of 146113600 is 6311641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (146113607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2180767 + ... + 2180833.

Almost surely, 2^146113600 is an apocalyptic number.

146113600 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 146113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192755520).

146113600 is an abundant number, since it is smaller than the sum of its proper divisors (239397440).

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

146113600 is a wasteful number, since it uses less digits than its factorization.

146113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 146113600 is about 12087.7458609949. The cubic root of 146113600 is about 526.7002773686.

The spelling of 146113600 in words is "one hundred forty-six million, one hundred thirteen thousand, six hundred".