1014535132000 has 96 divisors (see below), whose sum is σ = 2684460096864. Its totient is φ = 374597568000.

The previous prime is 1014535131977. The next prime is 1014535132003. The reversal of 1014535132000 is 2315354101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014535132003) 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 15 ways as a sum of consecutive naturals, for example, 9703146 + ... + 9807145.

It is an arithmetic number, because the mean of its divisors is an integer number (27963126009).

Almost surely, 2^{1014535132000} is an apocalyptic number.

1014535132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014535132000 is an abundant number, since it is smaller than the sum of its proper divisors (1669924964864).

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

1014535132000 is a wasteful number, since it uses less digits than its factorization.

1014535132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19510329 (or 19510311 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 1014535132000 in words is "one trillion, fourteen billion, five hundred thirty-five million, one hundred thirty-two thousand".