134919840 has 288 divisors, whose sum is σ = 492283008. Its totient is φ = 30976000.

The previous prime is 134919833. The next prime is 134919857. The reversal of 134919840 is 48919431.

134919840 = T₁₉₉ + T₂₀₀ + ... + T₉₃₄.

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, 1335790 + ... + 1335890.

It is an arithmetic number, because the mean of its divisors is an integer number (1709316).

Almost surely, 2^134919840 is an apocalyptic number.

134919840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11615×11616.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246141504).

134919840 is an abundant number, since it is smaller than the sum of its proper divisors (357363168).

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

134919840 is a wasteful number, since it uses less digits than its factorization.

134919840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 134919840 is about 11615.4999892385. The cubic root of 134919840 is about 512.8912293283.

The spelling of 134919840 in words is "one hundred thirty-four million, nine hundred nineteen thousand, eight hundred forty".