1354820146000 has 80 divisors (see below), whose sum is σ = 3309728320080. Its totient is φ = 536341094400.

The previous prime is 1354820145953. The next prime is 1354820146021. The reversal of 1354820146000 is 6410284531.

It can be written as a sum of positive squares in 8 ways, for example, as 555484014864 + 799336131136 = 745308^2 + 894056^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1354820146000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3297805 + ... + 3685804.

It is an arithmetic number, because the mean of its divisors is an integer number (41371604001).

Almost surely, 2^{1354820146000} is an apocalyptic number.

1354820146000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1354820146000 is an abundant number, since it is smaller than the sum of its proper divisors (1954908174080).

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

1354820146000 is an equidigital number, since it uses as much as digits as its factorization.

1354820146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983729 (or 6983713 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 1354820146000 in words is "one trillion, three hundred fifty-four billion, eight hundred twenty million, one hundred forty-six thousand".