146907538800 has 480 divisors, whose sum is σ = 533055168000. Its totient is φ = 34258022400.

The previous prime is 146907538783. The next prime is 146907538807. The reversal of 146907538800 is 8835709641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146907538807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137424666 + ... + 137425734.

It is an arithmetic number, because the mean of its divisors is an integer number (1110531600).

Almost surely, 2^146907538800 is an apocalyptic number.

146907538800 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 146907538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266527584000).

146907538800 is an abundant number, since it is smaller than the sum of its proper divisors (386147629200).

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

146907538800 is a wasteful number, since it uses less digits than its factorization.

146907538800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 146907538800 in words is "one hundred forty-six billion, nine hundred seven million, five hundred thirty-eight thousand, eight hundred".