134225392896 has 576 divisors, whose sum is σ = 475470374400. Its totient is φ = 36996341760.

The previous prime is 134225392871. The next prime is 134225392921. The reversal of 134225392896 is 698293522431.

134225392896 is a `hidden beast` number, since 1 + 3 + 4 + 22 + 539 + 2 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (134225392871) and next prime (134225392921).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113653426 + ... + 113654606.

It is an arithmetic number, because the mean of its divisors is an integer number (825469400).

Almost surely, 2^134225392896 is an apocalyptic number.

134225392896 is a gapful number since it is divisible by the number (16) 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 134225392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237735187200).

134225392896 is an abundant number, since it is smaller than the sum of its proper divisors (341244981504).

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

134225392896 is an frugal number, since it uses more digits than its factorization.

134225392896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1222 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 134225392896 in words is "one hundred thirty-four billion, two hundred twenty-five million, three hundred ninety-two thousand, eight hundred ninety-six".