146131200 has 324 divisors, whose sum is σ = 543663120. Its totient is φ = 37416960.

The previous prime is 146131199. The next prime is 146131207. The reversal of 146131200 is 2131641.

It is a happy number.

146131200 is a `hidden beast` number, since 1 + 461 + 3 + 1 + 200 = 666.

It is a super-2 number, since 2×146131200² = 42708655226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (146131207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2476771 + ... + 2476829.

Almost surely, 2^146131200 is an apocalyptic number.

146131200 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 146131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271831560).

146131200 is an abundant number, since it is smaller than the sum of its proper divisors (397531920).

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

146131200 is a wasteful number, since it uses less digits than its factorization.

146131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 146131200 is about 12088.4738490845. The cubic root of 146131200 is about 526.7214242769.

Adding to 146131200 its reverse (2131641), we get a palindrome (148262841).

The spelling of 146131200 in words is "one hundred forty-six million, one hundred thirty-one thousand, two hundred".