134120435021400 has 384 divisors, whose sum is σ = 471786530158080. Its totient is φ = 31327831941120.

The previous prime is 134120435021387. The next prime is 134120435021413. The reversal of 134120435021400 is 4120534021431.

It is an interprime number because it is at equal distance from previous prime (134120435021387) and next prime (134120435021413).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 954547 + ... + 16405853.

It is an arithmetic number, because the mean of its divisors is an integer number (1228610755620).

Almost surely, 2^{134120435021400} is an apocalyptic number.

134120435021400 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 134120435021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235893265079040).

134120435021400 is an abundant number, since it is smaller than the sum of its proper divisors (337666095136680).

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

134120435021400 is a wasteful number, since it uses less digits than its factorization.

134120435021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15451403 (or 15451394 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 134120435021400 its reverse (4120534021431), we get a palindrome (138240969042831).

The spelling of 134120435021400 in words is "one hundred thirty-four trillion, one hundred twenty billion, four hundred thirty-five million, twenty-one thousand, four hundred".