146771942400 has 396 divisors, whose sum is σ = 548381179632. Its totient is φ = 37436129280.

The previous prime is 146771942371. The next prime is 146771942467. The reversal of 146771942400 is 4249177641.

146771942400 is a `hidden beast` number, since 146 + 77 + 19 + 424 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5285352 + ... + 5313048.

Almost surely, 2^146771942400 is an apocalyptic number.

146771942400 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 146771942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274190589816).

146771942400 is an abundant number, since it is smaller than the sum of its proper divisors (401609237232).

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

146771942400 is a wasteful number, since it uses less digits than its factorization.

146771942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27756 (or 27730 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 146771942400 in words is "one hundred forty-six billion, seven hundred seventy-one million, nine hundred forty-two thousand, four hundred".