134974012320 has 288 divisors, whose sum is σ = 537143443200. Its totient is φ = 30851089920.

The previous prime is 134974012297. The next prime is 134974012331. The reversal of 134974012320 is 23210479431.

It is a happy number.

134974012320 is a `hidden beast` number, since 1 + 3 + 497 + 40 + 123 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 357285 + ... + 630555.

It is an arithmetic number, because the mean of its divisors is an integer number (1865081400).

Almost surely, 2^134974012320 is an apocalyptic number.

134974012320 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 134974012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268571721600).

134974012320 is an abundant number, since it is smaller than the sum of its proper divisors (402169430880).

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

134974012320 is a wasteful number, since it uses less digits than its factorization.

134974012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273313 (or 273288 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 134974012320 in words is "one hundred thirty-four billion, nine hundred seventy-four million, twelve thousand, three hundred twenty".