146394474240 has 288 divisors, whose sum is σ = 539640331776. Its totient is φ = 33129676800.

The previous prime is 146394474229. The next prime is 146394474241. The reversal of 146394474240 is 42474493641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 146394474240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146394474241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687919 + ... + 2741841.

It is an arithmetic number, because the mean of its divisors is an integer number (1873751152).

Almost surely, 2^146394474240 is an apocalyptic number.

146394474240 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 146394474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269820165888).

146394474240 is an abundant number, since it is smaller than the sum of its proper divisors (393245857536).

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

146394474240 is a wasteful number, since it uses less digits than its factorization.

146394474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54055 (or 54041 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 146394474240 in words is "one hundred forty-six billion, three hundred ninety-four million, four hundred seventy-four thousand, two hundred forty".