146805455104 has 243 divisors, whose sum is σ = 375895265403. Its totient is φ = 57013017600.

The previous prime is 146805455077. The next prime is 146805455131. The reversal of 146805455104 is 401554508641.

The square root of 146805455104 is 383152.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (146805455077) and next prime (146805455131).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 472043109 + ... + 472043419.

Almost surely, 2^146805455104 is an apocalyptic number.

146805455104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

146805455104 is the 383152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146805455104

146805455104 is an abundant number, since it is smaller than the sum of its proper divisors (229089810299).

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

146805455104 is an frugal number, since it uses more digits than its factorization.

146805455104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 43.

The spelling of 146805455104 in words is "one hundred forty-six billion, eight hundred five million, four hundred fifty-five thousand, one hundred four".