134144434400 has 72 divisors (see below), whose sum is σ = 328188307104. Its totient is φ = 53541734400.

The previous prime is 134144434367. The next prime is 134144434433. The reversal of 134144434400 is 4434441431.

It is an interprime number because it is at equal distance from previous prime (134144434367) and next prime (134144434433).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189320 + ... + 551480.

It is an arithmetic number, because the mean of its divisors is an integer number (4558170932).

Almost surely, 2^134144434400 is an apocalyptic number.

134144434400 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 134144434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164094153552).

134144434400 is an abundant number, since it is smaller than the sum of its proper divisors (194043872704).

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

134144434400 is a wasteful number, since it uses less digits than its factorization.

134144434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362644 (or 362631 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 134144434400 its reverse (4434441431), we get a palindrome (138578875831).

The spelling of 134144434400 in words is "one hundred thirty-four billion, one hundred forty-four million, four hundred thirty-four thousand, four hundred".