134904672 has 144 divisors (see below), whose sum is σ = 446033952. Its totient is φ = 37877760.

The previous prime is 134904659. The next prime is 134904691. The reversal of 134904672 is 276409431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122428 + ... + 123524.

It is an arithmetic number, because the mean of its divisors is an integer number (3097458).

Almost surely, 2^134904672 is an apocalyptic number.

134904672 is a gapful number since it is divisible by the number (12) 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 134904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223016976).

134904672 is an abundant number, since it is smaller than the sum of its proper divisors (311129280).

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

134904672 is a wasteful number, since it uses less digits than its factorization.

134904672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1170 counting only the distinct ones).

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

The square root of 134904672 is about 11614.8470502198. The cubic root of 134904672 is about 512.8720084692.

The spelling of 134904672 in words is "one hundred thirty-four million, nine hundred four thousand, six hundred seventy-two".