146320022400 has 192 divisors, whose sum is σ = 494968223280. Its totient is φ = 37964021760.

The previous prime is 146320022389. The next prime is 146320022419. The reversal of 146320022400 is 4220023641.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149232 + ... + 561168.

Almost surely, 2^146320022400 is an apocalyptic number.

146320022400 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 146320022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484111640).

146320022400 is an abundant number, since it is smaller than the sum of its proper divisors (348648200880).

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

146320022400 is a wasteful number, since it uses less digits than its factorization.

146320022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412001 (or 411984 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 146320022400 in words is "one hundred forty-six billion, three hundred twenty million, twenty-two thousand, four hundred".