146364400 has 120 divisors (see below), whose sum is σ = 432895904. Its totient is φ = 46310400.

The previous prime is 146364397. The next prime is 146364403. The reversal of 146364400 is 4463641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (146364397) and next prime (146364403).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146364403) 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, 34390 + ... + 38410.

Almost surely, 2^146364400 is an apocalyptic number.

146364400 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 146364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216447952).

146364400 is an abundant number, since it is smaller than the sum of its proper divisors (286531504).

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

146364400 is a wasteful number, since it uses less digits than its factorization.

146364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 146364400 is about 12098.1155557384. The cubic root of 146364400 is about 527.0014606524.

The spelling of 146364400 in words is "one hundred forty-six million, three hundred sixty-four thousand, four hundred".