134706370267000 has 256 divisors, whose sum is σ = 361970758656000. Its totient is φ = 45963951552000.

The previous prime is 134706370266983. The next prime is 134706370267039. The reversal of 134706370267000 is 762073607431.

It is a super-3 number, since 3×134706370267000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1743304366 + ... + 1743381634.

It is an arithmetic number, because the mean of its divisors is an integer number (1413948276000).

Almost surely, 2^{134706370267000} is an apocalyptic number.

134706370267000 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 134706370267000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180985379328000).

134706370267000 is an abundant number, since it is smaller than the sum of its proper divisors (227264388389000).

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

134706370267000 is a wasteful number, since it uses less digits than its factorization.

134706370267000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78487 (or 78473 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 46.

The spelling of 134706370267000 in words is "one hundred thirty-four trillion, seven hundred six billion, three hundred seventy million, two hundred sixty-seven thousand".