Search a number
-
+
134878320 = 24325376183
BaseRepresentation
bin10000000101000…
…01010001110000
3100101210112021100
420002201101300
5234012101240
621214524400
73225306153
oct1002412160
9311715240
10134878320
116a154095
1239206700
1321c36075
1413cadc9a
15bc93e30
hex80a1470

134878320 has 240 divisors, whose sum is σ = 478531872. Its totient is φ = 34007040.

The previous prime is 134878313. The next prime is 134878327. The reversal of 134878320 is 23878431.

It is an interprime number because it is at equal distance from previous prime (134878313) and next prime (134878327).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1348783202 = 36384322412044800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134878327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624999 + ... + 1625081.

Almost surely, 2134878320 is an apocalyptic number.

134878320 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 134878320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239265936).

134878320 is an abundant number, since it is smaller than the sum of its proper divisors (343653552).

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

134878320 is a wasteful number, since it uses less digits than its factorization.

134878320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 134878320 is about 11613.7125846992. The cubic root of 134878320 is about 512.8386118416.

The spelling of 134878320 in words is "one hundred thirty-four million, eight hundred seventy-eight thousand, three hundred twenty".