134883980400 has 240 divisors, whose sum is σ = 466714093664. Its totient is φ = 33102397440.

The previous prime is 134883980383. The next prime is 134883980417. The reversal of 134883980400 is 4089388431.

It is an interprime number because it is at equal distance from previous prime (134883980383) and next prime (134883980417).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 134883980400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5244372 + ... + 5270028.

Almost surely, 2^134883980400 is an apocalyptic number.

134883980400 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 134883980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233357046832).

134883980400 is an abundant number, since it is smaller than the sum of its proper divisors (331830113264).

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

134883980400 is a wasteful number, since it uses less digits than its factorization.

134883980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26028 (or 26017 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 134883980400 in words is "one hundred thirty-four billion, eight hundred eighty-three million, nine hundred eighty thousand, four hundred".