67134501000 has 640 divisors, whose sum is σ = 270183513600. Its totient is φ = 15231628800.

The previous prime is 67134500989. The next prime is 67134501011. The reversal of 67134501000 is 10543176.

It is an interprime number because it is at equal distance from previous prime (67134500989) and next prime (67134501011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 94688646 + ... + 94689354.

It is an arithmetic number, because the mean of its divisors is an integer number (422161740).

Almost surely, 2^67134501000 is an apocalyptic number.

67134501000 is a gapful number since it is divisible by the number (60) 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 67134501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135091756800).

67134501000 is an abundant number, since it is smaller than the sum of its proper divisors (203049012600).

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

67134501000 is a wasteful number, since it uses less digits than its factorization.

67134501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 67134501000 in words is "sixty-seven billion, one hundred thirty-four million, five hundred one thousand".