134389920 has 384 divisors, whose sum is σ = 529514496. Its totient is φ = 27979776.

The previous prime is 134389903. The next prime is 134389961. The reversal of 134389920 is 29983431.

134389920 = T₈₅ + T₈₆ + ... + T₉₃₀.

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, 2859337 + ... + 2859383.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 2^134389920 is an apocalyptic number.

134389920 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 134389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264757248).

134389920 is an abundant number, since it is smaller than the sum of its proper divisors (395124576).

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

134389920 is a wasteful number, since it uses less digits than its factorization.

134389920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 134389920 is about 11592.6666474975. Note that the first 4 decimals coincide. The cubic root of 134389920 is about 512.2188598832.

The spelling of 134389920 in words is "one hundred thirty-four million, three hundred eighty-nine thousand, nine hundred twenty".