134863704400 has 90 divisors (see below), whose sum is σ = 329461826846. Its totient is φ = 53038560000.

The previous prime is 134863704389. The next prime is 134863704401. The reversal of 134863704400 is 4407368431.

It can be written as a sum of positive squares in 3 ways, for example, as 353740864 + 134509963536 = 18808^2 + 366756^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134863704401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57363225 + ... + 57365575.

Almost surely, 2^134863704400 is an apocalyptic number.

134863704400 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 134863704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164730913423).

134863704400 is an abundant number, since it is smaller than the sum of its proper divisors (194598122446).

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

134863704400 is an frugal number, since it uses more digits than its factorization.

134863704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 134863704400 in words is "one hundred thirty-four billion, eight hundred sixty-three million, seven hundred four thousand, four hundred".