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134169840 = 24325723803
BaseRepresentation
bin1111111111101…
…00010011110000
3100100110112102100
413333310103300
5233321413330
621151420400
73216265500
oct777642360
9310415370
10134169840
116980a872
1238b24700
1321a4874c
1413b67a00
15bba4060
hex7ff44f0

134169840 has 180 divisors, whose sum is σ = 524290104. Its totient is φ = 30659328.

The previous prime is 134169823. The next prime is 134169851. The reversal of 134169840 is 48961431.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 134169795 and 134169804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33379 + ... + 37181.

Almost surely, 2134169840 is an apocalyptic number.

134169840 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 134169840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262145052).

134169840 is an abundant number, since it is smaller than the sum of its proper divisors (390120264).

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

134169840 is a wasteful number, since it uses less digits than its factorization.

134169840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 134169840 is about 11583.1705504149. The cubic root of 134169840 is about 511.9391000156.

The spelling of 134169840 in words is "one hundred thirty-four million, one hundred sixty-nine thousand, eight hundred forty".