146090560000 has 800 divisors, whose sum is σ = 467872732800. Its totient is φ = 45534720000.

The previous prime is 146090559977. The next prime is 146090560013. The reversal of 146090560000 is 65090641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×146090560000² (a number of 23 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 13280959995 + ... + 13280960005.

It is an arithmetic number, because the mean of its divisors is an integer number (584840916).

Almost surely, 2^146090560000 is an apocalyptic number.

146090560000 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 146090560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233936366400).

146090560000 is an abundant number, since it is smaller than the sum of its proper divisors (321782172800).

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

146090560000 is an frugal number, since it uses more digits than its factorization.

146090560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 146090560000 in words is "one hundred forty-six billion, ninety million, five hundred sixty thousand".