134933040000 has 960 divisors, whose sum is σ = 549782513280. Its totient is φ = 32659200000.

The previous prime is 134933039977. The next prime is 134933040023. The reversal of 134933040000 is 40339431.

It is an interprime number because it is at equal distance from previous prime (134933039977) and next prime (134933040023).

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 213839685 + ... + 213840315.

It is an arithmetic number, because the mean of its divisors is an integer number (572690118).

Almost surely, 2^134933040000 is an apocalyptic number.

134933040000 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 134933040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274891256640).

134933040000 is an abundant number, since it is smaller than the sum of its proper divisors (414849473280).

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

134933040000 is an frugal number, since it uses more digits than its factorization.

134933040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 134933040000 its reverse (40339431), we get a palindrome (134973379431).

The spelling of 134933040000 in words is "one hundred thirty-four billion, nine hundred thirty-three million, forty thousand".