1305537141000 has 128 divisors (see below), whose sum is σ = 4073666463360. Its totient is φ = 348109856000.

The previous prime is 1305537140983. The next prime is 1305537141017. The reversal of 1305537141000 is 1417355031.

It is an interprime number because it is at equal distance from previous prime (1305537140983) and next prime (1305537141017).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61510390 + ... + 61531610.

It is an arithmetic number, because the mean of its divisors is an integer number (31825519245).

Almost surely, 2^{1305537141000} is an apocalyptic number.

1305537141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305537141000 is an abundant number, since it is smaller than the sum of its proper divisors (2768129322360).

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

1305537141000 is a wasteful number, since it uses less digits than its factorization.

1305537141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41752 (or 41738 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 1305537141000 in words is "one trillion, three hundred five billion, five hundred thirty-seven million, one hundred forty-one thousand".