134335350400 has 384 divisors, whose sum is σ = 363291033600. Its totient is φ = 48895488000.

The previous prime is 134335350389. The next prime is 134335350421. The reversal of 134335350400 is 4053533431.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 495702265 + ... + 495702535.

It is an arithmetic number, because the mean of its divisors is an integer number (946070400).

Almost surely, 2^134335350400 is an apocalyptic number.

134335350400 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 134335350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181645516800).

134335350400 is an abundant number, since it is smaller than the sum of its proper divisors (228955683200).

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

134335350400 is a wasteful number, since it uses less digits than its factorization.

134335350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 31.

Adding to 134335350400 its reverse (4053533431), we get a palindrome (138388883831).

The spelling of 134335350400 in words is "one hundred thirty-four billion, three hundred thirty-five million, three hundred fifty thousand, four hundred".