134261920 has 96 divisors (see below), whose sum is σ = 361782288. Its totient is φ = 46645248.

The previous prime is 134261893. The next prime is 134261951. The reversal of 134261920 is 29162431.

134261920 = T₄₉₅ + T₄₉₆ + ... + T₉₇₄.

It can be written as a sum of positive squares in 8 ways, for example, as 14227984 + 120033936 = 3772^2 + 10956^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33462 + ... + 37258.

Almost surely, 2^134261920 is an apocalyptic number.

134261920 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 134261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180891144).

134261920 is an abundant number, since it is smaller than the sum of its proper divisors (227520368).

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

134261920 is a wasteful number, since it uses less digits than its factorization.

134261920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 134261920 is about 11587.1446008065. The cubic root of 134261920 is about 512.0561868677.

The spelling of 134261920 in words is "one hundred thirty-four million, two hundred sixty-one thousand, nine hundred twenty".