134624567140000 has 240 divisors, whose sum is σ = 379142573040000. Its totient is φ = 46079908992000.

The previous prime is 134624567139983. The next prime is 134624567140031. The reversal of 134624567140000 is 41765426431.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83057326 + ... + 84662674.

It is an arithmetic number, because the mean of its divisors is an integer number (1579760721000).

Almost surely, 2^{134624567140000} is an apocalyptic number.

134624567140000 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 134624567140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189571286520000).

134624567140000 is an abundant number, since it is smaller than the sum of its proper divisors (244518005900000).

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

134624567140000 is an equidigital number, since it uses as much as digits as its factorization.

134624567140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605985 (or 1605962 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 134624567140000 in words is "one hundred thirty-four trillion, six hundred twenty-four billion, five hundred sixty-seven million, one hundred forty thousand".