134213213400 has 192 divisors, whose sum is σ = 476498073600. Its totient is φ = 30612802560.

The previous prime is 134213213399. The next prime is 134213213401. The reversal of 134213213400 is 4312312431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134213213399) and next prime (134213213401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134213213401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1978444 + ... + 2045156.

It is an arithmetic number, because the mean of its divisors is an integer number (2481760800).

Almost surely, 2^134213213400 is an apocalyptic number.

134213213400 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 134213213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238249036800).

134213213400 is an abundant number, since it is smaller than the sum of its proper divisors (342284860200).

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

134213213400 is a wasteful number, since it uses less digits than its factorization.

134213213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67218 (or 67209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134213213400 its reverse (4312312431), we get a palindrome (138525525831).

The spelling of 134213213400 in words is "one hundred thirty-four billion, two hundred thirteen million, two hundred thirteen thousand, four hundred".