146696400 has 360 divisors, whose sum is σ = 566451840. Its totient is φ = 36034560.

The previous prime is 146696393. The next prime is 146696423. The reversal of 146696400 is 4696641.

146696400 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3121177 + ... + 3121223.

Almost surely, 2^146696400 is an apocalyptic number.

146696400 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 146696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283225920).

146696400 is an abundant number, since it is smaller than the sum of its proper divisors (419755440).

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

146696400 is a wasteful number, since it uses less digits than its factorization.

146696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 146696400 is about 12111.8289287787. The cubic root of 146696400 is about 527.3996275111.

The spelling of 146696400 in words is "one hundred forty-six million, six hundred ninety-six thousand, four hundred".